Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bx |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-2274352204876171875 = -1 · 315 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,226417,-59465506] |
[a1,a2,a3,a4,a6] |
Generators |
[514:13891:1] |
Generators of the group modulo torsion |
j |
19444740423680/34451725707 |
j-invariant |
L |
6.4512953357423 |
L(r)(E,1)/r! |
Ω |
0.13603825946869 |
Real period |
R |
1.5807551397276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725o1 88725cf1 |
Quadratic twists by: 5 13 |