Atkin-Lehner |
2- 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cn |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1111505941439308800 = 210 · 39 · 52 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-288173,-31111019] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:4952:1] |
Generators of the group modulo torsion |
j |
134459307419398443/56470352153600 |
j-invariant |
L |
11.097746462411 |
L(r)(E,1)/r! |
Ω |
0.21391241869614 |
Real period |
R |
0.32424912653176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810m1 |
Quadratic twists by: -3 |