Atkin-Lehner |
2- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86768l |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-118259924992 = -1 · 214 · 114 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 3 11- -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,912,13012] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:22:1] [-1:110:1] |
Generators of the group modulo torsion |
j |
20458415375/28872052 |
j-invariant |
L |
8.617076809808 |
L(r)(E,1)/r! |
Ω |
0.70971000821298 |
Real period |
R |
1.517710880238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846c1 |
Quadratic twists by: -4 |