Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
75140k |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
62688384 |
Modular degree for the optimal curve |
Δ |
7.1129245585851E+28 |
Discriminant |
Eigenvalues |
2- -2 5- -2 3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1054185685,-2985002331417] |
[a1,a2,a3,a4,a6] |
Generators |
[-20134:3174665:1] |
Generators of the group modulo torsion |
j |
72551052951018274816/39830601611328125 |
j-invariant |
L |
3.8508999329738 |
L(r)(E,1)/r! |
Ω |
0.028323737773745 |
Real period |
R |
0.51500060784836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140d1 |
Quadratic twists by: 17 |