Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725a |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
-7.0258327626663E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1530577,-1047002422] |
[a1,a2,a3,a4,a6] |
Generators |
[82004016792:1587081491237:131872229] |
Generators of the group modulo torsion |
j |
19444740423680/34451725707 |
j-invariant |
L |
3.0219982207609 |
L(r)(E,1)/r! |
Ω |
0.084367347035881 |
Real period |
R |
17.909762052111 |
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 |
88725cf1 88725o1 |
Quadratic twists by: 5 13 |