Atkin-Lehner |
2+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62320a |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-4985600 = -1 · 28 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 6 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,-275] |
[a1,a2,a3,a4,a6] |
j |
-232428544/19475 |
j-invariant |
L |
1.5821819373325 |
L(r)(E,1)/r! |
Ω |
0.79109096707585 |
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 |
31160a1 |
Quadratic twists by: -4 |