Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cl |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1045440 |
Modular degree for the optimal curve |
Δ |
-46516965048321075 = -1 · 311 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71430,-12738841] |
[a1,a2,a3,a4,a6] |
Generators |
[22404:146983:64] |
Generators of the group modulo torsion |
j |
-3837374464/4428675 |
j-invariant |
L |
18.829906350913 |
L(r)(E,1)/r! |
Ω |
0.13977259583419 |
Real period |
R |
2.0411841787214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935d1 88935cn1 |
Quadratic twists by: -7 -11 |