Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245l |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
555814127625185 = 5 · 116 · 137 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20875,-248808] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:490:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
1.2090477079807 |
L(r)(E,1)/r! |
Ω |
0.42523381948003 |
Real period |
R |
2.843253871747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
845a1 7865b1 |
Quadratic twists by: -11 13 |