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	4900r	Isogeny class
Conductor	4900	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-5147143750000 = -1 · 24 · 58 · 77	Discriminant
Eigenvalues	2-  0 5- 7- -5 -6  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6125,-214375]	[a1,a2,a3,a4,a6]
j	-34560/7	j-invariant
L	1.0676903151578	L(r)(E,1)/r!
Ω	0.26692257878945	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	19600dq1 78400ef1 44100dq1 4900d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4900r1

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	-	-	-5	-6	4	6	-3	-3	-2	-7	4	7	-2	10	14	-4	-3	-13	16	1	10	-10	-2

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Quadratic twists for elliptic curve 4900r1

-4	8	-3	5	-7
19600dq1	78400ef1	44100dq1	4900d1	700f1

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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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