Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29302b |
Isogeny class |
Conductor |
29302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-309135924188 = -1 · 22 · 76 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5497,-157767] |
[a1,a2,a3,a4,a6] |
Generators |
[598:14197:1] |
Generators of the group modulo torsion |
j |
-156155441625/2627612 |
j-invariant |
L |
3.3876098867065 |
L(r)(E,1)/r! |
Ω |
0.27694947652019 |
Real period |
R |
6.1159348074442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
598a1 |
Quadratic twists by: -7 |