Atkin-Lehner |
2- 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
125136x |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
1.4485890993859E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3218139,-2214499446] |
[a1,a2,a3,a4,a6] |
Generators |
[-28995:46574:27] |
Generators of the group modulo torsion |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
5.43722626812 |
L(r)(E,1)/r! |
Ω |
0.11274596830701 |
Real period |
R |
6.0281825857788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15642g1 13904f1 |
Quadratic twists by: -4 -3 |