Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376d |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
218340105584896 = 28 · 318 |
Discriminant |
Eigenvalues |
2+ -1 -1 3 1 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188676,31599424] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:7688:1] |
Generators of the group modulo torsion |
j |
3402064 |
j-invariant |
L |
3.7916390279007 |
L(r)(E,1)/r! |
Ω |
0.54832294114229 |
Real period |
R |
1.1524957111351 |
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 |
7688d1 61504be1 15376h1 |
Quadratic twists by: -4 8 -31 |