Atkin-Lehner |
2+ 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bb |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
13478400 |
Modular degree for the optimal curve |
Δ |
-3.3441912276492E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103894824,407596799320] |
[a1,a2,a3,a4,a6] |
Generators |
[-9082:780480:1] [23734:2821995:8] |
Generators of the group modulo torsion |
j |
-1054185895266980838422761/2842515641993706 |
j-invariant |
L |
9.8744172111341 |
L(r)(E,1)/r! |
Ω |
0.14850048678245 |
Real period |
R |
0.21312235268735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422b1 |
Quadratic twists by: -7 |