Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bd |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
537384960 |
Modular degree for the optimal curve |
Δ |
-1.446742652847E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19868077756,-1478867718778558] |
[a1,a2,a3,a4,a6] |
Generators |
[156993:74148607:1] |
Generators of the group modulo torsion |
j |
2528699048143416805789803166012817/4217908608883434375000000000000 |
j-invariant |
L |
5.0290752921343 |
L(r)(E,1)/r! |
Ω |
0.0079691427605861 |
Real period |
R |
5.6345405426976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730u1 |
Quadratic twists by: -7 |