Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10504a |
Isogeny class |
Conductor |
10504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
358585552 = 24 · 133 · 1012 |
Discriminant |
Eigenvalues |
2- 0 -2 2 6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-766,8109] |
[a1,a2,a3,a4,a6] |
j |
3106633623552/22411597 |
j-invariant |
L |
1.7099595109394 |
L(r)(E,1)/r! |
Ω |
1.7099595109394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21008a1 84032j1 94536c1 |
Quadratic twists by: -4 8 -3 |