Cremona's table of elliptic curves

7315 = 5 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	5- 7- 11+ 19-	Signs for the Atkin-Lehner involutions
Class	7315f	Isogeny class
Conductor	7315	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-73046920468181275 = -1 · 52 · 72 · 1112 · 19	Discriminant
Eigenvalues	1  0 5- 7- 11+ -6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,87226,-8434445]	[a1,a2,a3,a4,a6]
j	73393700070562507719/73046920468181275	j-invariant
L	1.5035633226178	L(r)(E,1)/r!
Ω	0.18794541532722	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	117040bz3 65835y3 36575d3 51205e3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7315f4

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	0	-	-	+	-6	-6	-	8	10	-4	-10	-2	-4	-8	6	0	6	16	12	-14	16	4	-6	2

---

Quadratic twists for elliptic curve 7315f4

-4	-3	5	-7	-11
117040bz3	65835y3	36575d3	51205e3	80465j3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations