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	15015q	Isogeny class
Conductor	15015	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	22297275 = 34 · 52 · 7 · 112 · 13	Discriminant
Eigenvalues	-1 3- 5- 7+ 11+ 13+ -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-475,-4018]	[a1,a2,a3,a4,a6]
Generators	[-13:8:1]	Generators of the group modulo torsion
j	11853911588401/22297275	j-invariant
L	3.6899635199152	L(r)(E,1)/r!
Ω	1.0227522967885	Real period
R	0.90196901329431	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	45045q2 75075t2 105105m2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 15015q2

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	2	4	-4	-2	-4	-6	10	-12	8	-4	0	-6	-6	-4	-18	18

---

Quadratic twists for elliptic curve 15015q2

-3	5	-7
45045q2	75075t2	105105m2

---

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