Atkin-Lehner |
2- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128686f |
Isogeny class |
Conductor |
128686 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7352640 |
Modular degree for the optimal curve |
Δ |
1.7310577782611E+20 |
Discriminant |
Eigenvalues |
2- -2 -2 2 1 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9308544,10912153600] |
[a1,a2,a3,a4,a6] |
Generators |
[-2624:132736:1] |
Generators of the group modulo torsion |
j |
25395407751457/49283072 |
j-invariant |
L |
7.8007743880209 |
L(r)(E,1)/r! |
Ω |
0.18092992118396 |
Real period |
R |
0.71858155799172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128686c1 |
Quadratic twists by: 37 |