Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62658v |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1252800 |
Modular degree for the optimal curve |
Δ |
-1857768378811444224 = -1 · 210 · 36 · 597 |
Discriminant |
Eigenvalues |
2- 3- -1 3 2 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-783878,275256213] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/60416 |
j-invariant |
L |
5.2441615454228 |
L(r)(E,1)/r! |
Ω |
0.26220807737283 |
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 |
6962c1 1062d1 |
Quadratic twists by: -3 -59 |