Cremona's table of elliptic curves

15015 = 3 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7+ 11+ 13+	Signs for the Atkin-Lehner involutions
Class	15015a	Isogeny class
Conductor	15015	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2029052025 = 34 · 52 · 72 · 112 · 132	Discriminant
Eigenvalues	-1 3+ 5+ 7+ 11+ 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-321,318]	[a1,a2,a3,a4,a6]
Generators	[-8:53:1]	Generators of the group modulo torsion
j	3658671062929/2029052025	j-invariant
L	2.0280182445023	L(r)(E,1)/r!
Ω	1.2764414451669	Real period
R	0.79440316364731	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	45045bg2 75075bo2 105105cl2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 15015a2

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

---

Quadratic twists for elliptic curve 15015a2

-3	5	-7
45045bg2	75075bo2	105105cl2

---

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