Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792x |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-30416653605888 = -1 · 210 · 36 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7784,377148] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:702:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
4.1073590631842 |
L(r)(E,1)/r! |
Ω |
0.61251043902924 |
Real period |
R |
3.3528890298383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552a1 |
Quadratic twists by: -11 |