Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834bg |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
372516760836 = 22 · 34 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-132437,-18561795] |
[a1,a2,a3,a4,a6] |
j |
145009284418153/210276 |
j-invariant |
L |
8.0084269801617 |
L(r)(E,1)/r! |
Ω |
0.25026334313468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502z1 3894g1 |
Quadratic twists by: -3 -11 |