Atkin-Lehner |
2- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248s |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208051200 |
Modular degree for the optimal curve |
Δ |
8.730416193378E+28 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202380949800,-35043167827345228] |
[a1,a2,a3,a4,a6] |
Generators |
[5217560030020251466853451224679117007830477445796026493201849783263173465777073645735508072040605956251734:2633304688427109215312473715776402166800170432697783507138090611295785394292683747736225925116027075389456384:8034002563167911555672265050797712872172652589718291265647085145816585251180378232340109200545087757] |
Generators of the group modulo torsion |
j |
223806478318999562522553252453628201/21314492659614217796583424 |
j-invariant |
L |
8.6855514357732 |
L(r)(E,1)/r! |
Ω |
0.0071179863316956 |
Real period |
R |
152.52824027452 |
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 |
10906c1 |
Quadratic twists by: -4 |