Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bk |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-1.23034030028E+21 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2129680,-2069286572] |
[a1,a2,a3,a4,a6] |
Generators |
[2226:65000:1] |
Generators of the group modulo torsion |
j |
-260799662677702795921/300376049873046875 |
j-invariant |
L |
7.951402845026 |
L(r)(E,1)/r! |
Ω |
0.059819180873698 |
Real period |
R |
1.1076997270686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7735e1 |
Quadratic twists by: -4 |