Atkin-Lehner |
2+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12482a |
Isogeny class |
Conductor |
12482 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
702468 |
Modular degree for the optimal curve |
Δ |
7.9540194372829E+20 |
Discriminant |
Eigenvalues |
2+ 0 4 1 0 -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2372750,-370649772] |
[a1,a2,a3,a4,a6] |
Generators |
[-487734660:18744494259:2744000] |
Generators of the group modulo torsion |
j |
973784889/524288 |
j-invariant |
L |
4.424071967385 |
L(r)(E,1)/r! |
Ω |
0.12951475797795 |
Real period |
R |
11.38627503783 |
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 |
99856c1 112338q1 12482b1 |
Quadratic twists by: -4 -3 -79 |