Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434q |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
7836192 |
Modular degree for the optimal curve |
Δ |
-4.3966113450108E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 6 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3590493,100915293747] |
[a1,a2,a3,a4,a6] |
j |
-482720565971125/414598670843904 |
j-invariant |
L |
2.8841910904191 |
L(r)(E,1)/r! |
Ω |
0.062699806313394 |
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 |
94302bf1 31434e1 |
Quadratic twists by: -3 13 |