Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5766f |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
130200 |
Modular degree for the optimal curve |
Δ |
-2.5493718238251E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -3 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,442520,-214847434] |
[a1,a2,a3,a4,a6] |
Generators |
[480:10162:1] |
Generators of the group modulo torsion |
j |
11692487/31104 |
j-invariant |
L |
3.7771764425872 |
L(r)(E,1)/r! |
Ω |
0.10914935058312 |
Real period |
R |
6.9211157417023 |
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 |
46128u1 17298t1 5766a1 |
Quadratic twists by: -4 -3 -31 |