Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545ba |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-30432804271875 = -1 · 32 · 55 · 196 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 4 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-264011,52126070] |
[a1,a2,a3,a4,a6] |
j |
-43258336804864/646875 |
j-invariant |
L |
2.4159508818949 |
L(r)(E,1)/r! |
Ω |
0.60398729277284 |
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 |
345a1 |
Quadratic twists by: -19 |