Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ev |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-2.13270921216E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,215925,-218807750] |
[a1,a2,a3,a4,a6] |
Generators |
[710:17100:1] [1295:47250:1] |
Generators of the group modulo torsion |
j |
23862997439/457113600 |
j-invariant |
L |
11.371330264401 |
L(r)(E,1)/r! |
Ω |
0.10469250031751 |
Real period |
R |
13.577059281864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cf1 37200cz1 22320bn1 |
Quadratic twists by: -4 -3 5 |