Cremona's table of elliptic curves

20400 = 2⁴ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	20400bi	Isogeny class
Conductor	20400	Conductor
∏ cp	132	Product of Tamagawa factors cp
deg	253440	Modular degree for the optimal curve
Δ	-1087904013750000 = -1 · 24 · 311 · 57 · 173	Discriminant
Eigenvalues	2+ 3- 5+  3 -5  0 17-  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2387008,1418684363]	[a1,a2,a3,a4,a6]
Generators	[1493:34425:1]	Generators of the group modulo torsion
j	-6016521998966814976/4351616055	j-invariant
L	6.7074126427041	L(r)(E,1)/r!
Ω	0.4068657182318	Real period
R	0.12489066997959	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10200i1 81600gq1 61200bm1 4080h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20400bi1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	3	-5	0	-	1	0	1	-4	5	-3	0	-7	-9	6	-4	-14	-8	3	2	0	-2	-14

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Quadratic twists for elliptic curve 20400bi1

-4	8	-3	5
10200i1	81600gq1	61200bm1	4080h1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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