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	7220c	Isogeny class
Conductor	7220	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-188183524000000 = -1 · 28 · 56 · 196	Discriminant
Eigenvalues	2-  2 5+  2  0 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13116,881816]	[a1,a2,a3,a4,a6]
Generators	[986:30750:1]	Generators of the group modulo torsion
j	-20720464/15625	j-invariant
L	5.6247453083079	L(r)(E,1)/r!
Ω	0.5217292780809	Real period
R	3.5936551417353	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	28880y4 115520be4 64980bh4 36100j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7220c4

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

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Quadratic twists for elliptic curve 7220c4

-4	8	-3	5	-19
28880y4	115520be4	64980bh4	36100j4	20a3

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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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