Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300bk |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
5.1598371723103E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5154333,-4371203412] |
[a1,a2,a3,a4,a6] |
Generators |
[-1131:3591:1] |
Generators of the group modulo torsion |
j |
484608685879721984/16511478951393 |
j-invariant |
L |
10.962892706686 |
L(r)(E,1)/r! |
Ω |
0.10040701460675 |
Real period |
R |
4.5493553853103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117300o1 |
Quadratic twists by: 5 |