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	7215f	Isogeny class
Conductor	7215	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	555866781795 = 33 · 5 · 133 · 374	Discriminant
Eigenvalues	1 3- 5+  4  0 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1581869,-765911239]	[a1,a2,a3,a4,a6]
j	437758777793580346509769/555866781795	j-invariant
L	3.2308604536204	L(r)(E,1)/r!
Ω	0.13461918556752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	115440bh4 21645m4 36075g4 93795bc4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7215f3

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	-	+	4	0	+	2	-4	4	2	0	+	-2	-4	8	6	-12	14	-8	12	14	12	-12	-10	14

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Quadratic twists for elliptic curve 7215f3

-4	-3	5	13
115440bh4	21645m4	36075g4	93795bc4

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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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