Atkin-Lehner |
5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33235a |
Isogeny class |
Conductor |
33235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-29493092121875 = -1 · 55 · 177 · 23 |
Discriminant |
Eigenvalues |
1 -3 5+ -4 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9880,-457049] |
[a1,a2,a3,a4,a6] |
j |
-4419017721/1221875 |
j-invariant |
L |
0.47207383743674 |
L(r)(E,1)/r! |
Ω |
0.2360369187179 |
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 |
1955b1 |
Quadratic twists by: 17 |