Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bb |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
9.7342428557316E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124757505,536380984125] |
[a1,a2,a3,a4,a6] |
Generators |
[9138:-403737:1] [-6185:1038165:1] |
Generators of the group modulo torsion |
j |
294575231856601399978244881/13352870858342400 |
j-invariant |
L |
8.5341867197372 |
L(r)(E,1)/r! |
Ω |
0.17123452317396 |
Real period |
R |
1.2459792810939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cq1 |
Quadratic twists by: -3 |