Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bw |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
240328704 |
Modular degree for the optimal curve |
Δ |
7.2863456777421E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61200855883,-5827553343007239] |
[a1,a2,a3,a4,a6] |
Generators |
[-87715517865:43922337374:614125] |
Generators of the group modulo torsion |
j |
1014042577792199667696504796096616665/2914538271096835145728 |
j-invariant |
L |
5.7169568121284 |
L(r)(E,1)/r! |
Ω |
0.0095986505451416 |
Real period |
R |
10.635715304165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bp1 |
Quadratic twists by: 5 |