Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74008d |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139200 |
Modular degree for the optimal curve |
Δ |
-88043368681136 = -1 · 24 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 1 -2 0 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16259,911426] |
[a1,a2,a3,a4,a6] |
Generators |
[26:712:1] |
Generators of the group modulo torsion |
j |
-59392/11 |
j-invariant |
L |
5.5821545444239 |
L(r)(E,1)/r! |
Ω |
0.58078481447586 |
Real period |
R |
4.8056994649075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74008g1 |
Quadratic twists by: 29 |