Atkin-Lehner |
2- 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125136t |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
117210240 |
Modular degree for the optimal curve |
Δ |
8.1971506688341E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12640561983,547012876626666] |
[a1,a2,a3,a4,a6] |
j |
1196893107776952772633673036496/439233467765886286999 |
j-invariant |
L |
0.88618541566459 |
L(r)(E,1)/r! |
Ω |
0.049232541522649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31284c1 13904d1 |
Quadratic twists by: -4 -3 |