Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
41038o |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-954664412217344 = -1 · 215 · 177 · 71 |
Discriminant |
Eigenvalues |
2- -1 3 -5 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46824,4154089] |
[a1,a2,a3,a4,a6] |
Generators |
[137:509:1] |
Generators of the group modulo torsion |
j |
-470366406433/39550976 |
j-invariant |
L |
7.2194229916986 |
L(r)(E,1)/r! |
Ω |
0.48544009048087 |
Real period |
R |
0.24786522351112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414c1 |
Quadratic twists by: 17 |