Atkin-Lehner |
5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13915h |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-566979240245 = -1 · 5 · 118 · 232 |
Discriminant |
Eigenvalues |
-1 -1 5- -1 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6960,223510] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-86:1] |
Generators of the group modulo torsion |
j |
-173945761/2645 |
j-invariant |
L |
2.2904376621353 |
L(r)(E,1)/r! |
Ω |
0.92298455418625 |
Real period |
R |
0.41359263123579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235v1 69575m1 13915f1 |
Quadratic twists by: -3 5 -11 |