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	29400dg	Isogeny class
Conductor	29400	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	1235314500000000 = 28 · 3 · 59 · 77	Discriminant
Eigenvalues	2- 3+ 5- 7-  2 -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-34708,-1814588]	[a1,a2,a3,a4,a6]
j	78608/21	j-invariant
L	1.4270057583397	L(r)(E,1)/r!
Ω	0.35675143958463	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58800ei1 88200du1 29400cf1 4200bc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400dg1

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

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Quadratic twists for elliptic curve 29400dg1

-4	-3	5	-7
58800ei1	88200du1	29400cf1	4200bc1

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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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