Atkin-Lehner |
2- 3- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31284c |
Isogeny class |
Conductor |
31284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29302560 |
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 |
2.8476588810642 |
L(r)(E,1)/r! |
Ω |
0.014238294405333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136t1 3476b1 |
Quadratic twists by: -4 -3 |