Cremona's table of elliptic curves

29400 = 2³ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	29400co	Isogeny class
Conductor	29400	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-5000940000000 = -1 · 28 · 36 · 57 · 73	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3092,83812]	[a1,a2,a3,a4,a6]
Generators	[12:-350:1]	Generators of the group modulo torsion
j	2382032/3645	j-invariant
L	4.179490655568	L(r)(E,1)/r!
Ω	0.52221671422125	Real period
R	0.50021027450747	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	58800cs2 88200bv2 5880j2 29400dy2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400co2

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	-2	-2	-6	6	-2	-2	-2	2	8	0	0	0	0	8	0	10	-8	-12	-6	6

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Quadratic twists for elliptic curve 29400co2

-4	-3	5	-7
58800cs2	88200bv2	5880j2	29400dy2

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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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