Atkin-Lehner |
2- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33350r |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-4168750000 = -1 · 24 · 58 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 2 5 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,362,-1469] |
[a1,a2,a3,a4,a6] |
j |
13428095/10672 |
j-invariant |
L |
9.2452640440379 |
L(r)(E,1)/r! |
Ω |
0.77043867033668 |
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 |
33350c1 |
Quadratic twists by: 5 |