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	4900w	Isogeny class
Conductor	4900	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	-411771500000000 = -1 · 28 · 59 · 77	Discriminant
Eigenvalues	2- -3 5- 7-  3 -1  5  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-49000,-4287500]	[a1,a2,a3,a4,a6]
j	-221184/7	j-invariant
L	1.281155651924	L(r)(E,1)/r!
Ω	0.1601444564905	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	19600ec1 78400fr1 44100di1 4900v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4900w1

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
-	-3	-	-	3	-1	5	8	2	-1	2	10	6	-4	-11	6	10	0	-10	0	10	-7	-12	-8	-3

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Quadratic twists for elliptic curve 4900w1

-4	8	-3	5	-7
19600ec1	78400fr1	44100di1	4900v1	700j1

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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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