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	20400cx	Isogeny class
Conductor	20400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-8036072572032000000 = -1 · 213 · 32 · 56 · 178	Discriminant
Eigenvalues	2- 3- 5+  0  4  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-657608,246220788]	[a1,a2,a3,a4,a6]
Generators	[268:9450:1]	Generators of the group modulo torsion
j	-491411892194497/125563633938	j-invariant
L	6.706103697797	L(r)(E,1)/r!
Ω	0.22214929700323	Real period
R	3.7734216292048	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2550b6 81600fh5 61200fh5 816h6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20400cx6

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
-	-	+	0	4	2	+	-4	0	-10	-8	2	10	12	0	-6	-12	-10	-12	0	-10	8	4	-6	14

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Quadratic twists for elliptic curve 20400cx6

-4	8	-3	5
2550b6	81600fh5	61200fh5	816h6

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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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