Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310g |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-57793571020800 = -1 · 213 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6489,-415827] |
[a1,a2,a3,a4,a6] |
j |
-41454067728529/79277875200 |
j-invariant |
L |
1.0012931310142 |
L(r)(E,1)/r! |
Ω |
0.25032328275354 |
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 |
42480bu1 1770g1 26550ca1 |
Quadratic twists by: -4 -3 5 |