Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468m |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
1283969776210576 = 24 · 710 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 7- 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34414,1739569] |
[a1,a2,a3,a4,a6] |
Generators |
[45:533:1] |
Generators of the group modulo torsion |
j |
997335808/284089 |
j-invariant |
L |
10.637943856434 |
L(r)(E,1)/r! |
Ω |
0.45012139622073 |
Real period |
R |
1.9694583038559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468j1 |
Quadratic twists by: -7 |