Atkin-Lehner |
2- 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31518j |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
763200 |
Modular degree for the optimal curve |
Δ |
-2110207863579249312 = -1 · 25 · 39 · 172 · 1035 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 -3 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-358103,108200719] |
[a1,a2,a3,a4,a6] |
j |
-258021063312623883/107209666391264 |
j-invariant |
L |
4.8923249241361 |
L(r)(E,1)/r! |
Ω |
0.244616246207 |
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 |
31518d1 |
Quadratic twists by: -3 |