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	20400i	Isogeny class
Conductor	20400	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	419328	Modular degree for the optimal curve
Δ	-1.1346130371094E+19	Discriminant
Eigenvalues	2+ 3+ 5+ -3 -3 -4 17-  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,191092,158777187]	[a1,a2,a3,a4,a6]
j	3086803246205696/45384521484375	j-invariant
L	0.33659232194265	L(r)(E,1)/r!
Ω	0.16829616097132	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10200bj1 81600iy1 61200bn1 4080m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20400i1

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	-3	-4	-	5	0	-5	-4	-9	7	-8	-3	7	-6	-4	-14	8	9	-2	-8	-6	14

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Quadratic twists for elliptic curve 20400i1

-4	8	-3	5
10200bj1	81600iy1	61200bn1	4080m1

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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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