Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936h |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-129604209408 = -1 · 28 · 39 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4260,-108412] |
[a1,a2,a3,a4,a6] |
Generators |
[82:306:1] |
Generators of the group modulo torsion |
j |
-45812608000/694467 |
j-invariant |
L |
6.6319351050315 |
L(r)(E,1)/r! |
Ω |
0.29520648328296 |
Real period |
R |
1.4040882180933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312f1 |
Quadratic twists by: -3 |