Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bj |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-6423879427875 = -1 · 32 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-84218,9436013] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:329:8] |
Generators of the group modulo torsion |
j |
-647868416/63 |
j-invariant |
L |
12.856084598657 |
L(r)(E,1)/r! |
Ω |
0.72016845192458 |
Real period |
R |
4.4628741233973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725ce1 88725bg1 |
Quadratic twists by: 5 13 |