Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bv |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4717136655 = -1 · 36 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,358,1936] |
[a1,a2,a3,a4,a6] |
Generators |
[4:56:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
3.7337991420117 |
L(r)(E,1)/r! |
Ω |
0.89789666305826 |
Real period |
R |
2.0791920137526 |
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 |
2695a1 121275ec1 495a1 |
Quadratic twists by: -3 5 -7 |