Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225s |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-299673675 = -1 · 310 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 2 2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-288,1964] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
-106039644160/11986947 |
j-invariant |
L |
3.0093968001406 |
L(r)(E,1)/r! |
Ω |
1.6795342527893 |
Real period |
R |
0.17918043619192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675m1 15225l1 106575z1 |
Quadratic twists by: -3 5 -7 |