Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
69056l |
Isogeny class |
Conductor |
69056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-235334008832 = -1 · 224 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 1 4 -3 -1 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,959,-20033] |
[a1,a2,a3,a4,a6] |
j |
371694959/897728 |
j-invariant |
L |
2.0484914066005 |
L(r)(E,1)/r! |
Ω |
0.51212285547251 |
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 |
69056g1 17264f1 |
Quadratic twists by: -4 8 |