Cremona's table of elliptic curves

4900 = 2² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	4900p	Isogeny class
Conductor	4900	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-141237624500000000 = -1 · 28 · 59 · 710	Discriminant
Eigenvalues	2-  0 5- 7-  0  4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-67375,19293750]	[a1,a2,a3,a4,a6]
j	-574992/2401	j-invariant
L	1.7092626224852	L(r)(E,1)/r!
Ω	0.28487710374753	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	19600dl2 78400ea2 44100cw2 4900q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4900p2

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

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Quadratic twists for elliptic curve 4900p2

-4	8	-3	5	-7
19600dl2	78400ea2	44100cw2	4900q2	700e2

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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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