Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cl |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3082712776704 = -1 · 230 · 32 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2463,-69345] |
[a1,a2,a3,a4,a6] |
Generators |
[919004385:9725657088:9938375] |
Generators of the group modulo torsion |
j |
6300872423/11759616 |
j-invariant |
L |
9.0882433982096 |
L(r)(E,1)/r! |
Ω |
0.41831735756376 |
Real period |
R |
10.862857151213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248h1 15312m1 |
Quadratic twists by: -4 8 |