Atkin-Lehner |
11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7381b |
Isogeny class |
Conductor |
7381 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5016 |
Modular degree for the optimal curve |
Δ |
13075891741 = 118 · 61 |
Discriminant |
Eigenvalues |
0 1 3 2 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3549,80020] |
[a1,a2,a3,a4,a6] |
Generators |
[4665150:35805790:250047] |
Generators of the group modulo torsion |
j |
23068672/61 |
j-invariant |
L |
4.9819884245301 |
L(r)(E,1)/r! |
Ω |
1.2643160221275 |
Real period |
R |
11.821384062223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118096bg1 66429d1 7381a1 |
Quadratic twists by: -4 -3 -11 |