Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782i |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
9770542056 = 23 · 36 · 11 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1262,16472] |
[a1,a2,a3,a4,a6] |
j |
222027614732377/9770542056 |
j-invariant |
L |
2.55621254287 |
L(r)(E,1)/r! |
Ω |
1.2781062714337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104346bz1 |
Quadratic twists by: -3 |