Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91512g |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1833984 |
Modular degree for the optimal curve |
Δ |
10765755733248 = 28 · 39 · 31 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -2 -5 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11843820,-15688658556] |
[a1,a2,a3,a4,a6] |
Generators |
[-24175024:7298:12167] |
Generators of the group modulo torsion |
j |
36464297379507072000/2136551 |
j-invariant |
L |
5.4340276300078 |
L(r)(E,1)/r! |
Ω |
0.081381671401597 |
Real period |
R |
5.5643442404763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91512a1 |
Quadratic twists by: -3 |