Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434i |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5940480 |
Modular degree for the optimal curve |
Δ |
-1.2817088918109E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10039787,21132439382] |
[a1,a2,a3,a4,a6] |
j |
-811827248674273/929727922176 |
j-invariant |
L |
3.7789906127078 |
L(r)(E,1)/r! |
Ω |
0.09447476531778 |
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 |
94302cc1 31434y1 |
Quadratic twists by: -3 13 |