Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15345c |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
577969425 = 37 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,-894] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:21:1] [-10:27:1] |
Generators of the group modulo torsion |
j |
2305199161/792825 |
j-invariant |
L |
4.1006768775358 |
L(r)(E,1)/r! |
Ω |
1.2371480886601 |
Real period |
R |
0.828655218224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115d1 76725n1 |
Quadratic twists by: -3 5 |