Cremona's table of elliptic curves

7220 = 2² · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	7220d	Isogeny class
Conductor	7220	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-4.24589076025E+19	Discriminant
Eigenvalues	2- -2 5+  2  0 -6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,319004,-305630796]	[a1,a2,a3,a4,a6]
Generators	[126208037436500770:-11323419022841566187:15749076987496]	Generators of the group modulo torsion
j	298091207216/3525390625	j-invariant
L	2.6320302342947	L(r)(E,1)/r!
Ω	0.099874044508918	Real period
R	26.353496018274	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	28880w2 115520ba2 64980bj2 36100g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7220d2

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	2	-	-2	2	-4	10	10	6	-6	-6	4	2	2	-12	-6	-8	-2	-2	18

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Quadratic twists for elliptic curve 7220d2

-4	8	-3	5	-19
28880w2	115520ba2	64980bj2	36100g2	380b2

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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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