Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cv |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
6.7589996852517E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017536949,-12492310903115] |
[a1,a2,a3,a4,a6] |
Generators |
[-4321772136681786730:-3705519370704497995:234736675569703] |
Generators of the group modulo torsion |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
5.231770717054 |
L(r)(E,1)/r! |
Ω |
0.026730896185423 |
Real period |
R |
24.464998670594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bu1 8190i1 |
Quadratic twists by: -3 -7 |