Atkin-Lehner |
7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69797a |
Isogeny class |
Conductor |
69797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-1528993113739 = -1 · 7 · 137 · 592 |
Discriminant |
Eigenvalues |
0 2 -1 7- -2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,-60097] |
[a1,a2,a3,a4,a6] |
Generators |
[57:265:1] [618:4559:8] |
Generators of the group modulo torsion |
j |
-16777216/316771 |
j-invariant |
L |
11.574079114418 |
L(r)(E,1)/r! |
Ω |
0.36511113945668 |
Real period |
R |
7.9250383401972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369c1 |
Quadratic twists by: 13 |