Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cf |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-12480000000 = -1 · 212 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,5363] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:75:1] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
5.5539864065435 |
L(r)(E,1)/r! |
Ω |
1.049644607586 |
Real period |
R |
1.3228254512059 |
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 |
975b1 62400fc1 46800dj1 3120t1 |
Quadratic twists by: -4 8 -3 5 |