Cremona's table of elliptic curves

7215 = 3 · 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	3- 5- 13+ 37+	Signs for the Atkin-Lehner involutions
Class	7215i	Isogeny class
Conductor	7215	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1301405625 = -1 · 32 · 54 · 132 · 372	Discriminant
Eigenvalues	1 3- 5- -2  2 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-203,-2077]	[a1,a2,a3,a4,a6]
Generators	[27:97:1]	Generators of the group modulo torsion
j	-918613512361/1301405625	j-invariant
L	5.9931308476423	L(r)(E,1)/r!
Ω	0.60184098376837	Real period
R	1.2447496534128	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	115440bw2 21645d2 36075d2 93795t2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7215i2

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
1	-	-	-2	2	+	6	-4	-2	-2	-4	+	-10	-6	2	2	0	-6	-2	10	-14	10	6	6	2

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Quadratic twists for elliptic curve 7215i2

-4	-3	5	13
115440bw2	21645d2	36075d2	93795t2

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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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