Atkin-Lehner |
2+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20086a |
Isogeny class |
Conductor |
20086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-25878963088 = -1 · 24 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ 0 0 3 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,643,4373] |
[a1,a2,a3,a4,a6] |
Generators |
[58:455:1] |
Generators of the group modulo torsion |
j |
16581375/14608 |
j-invariant |
L |
3.8064956925243 |
L(r)(E,1)/r! |
Ω |
0.77522673993917 |
Real period |
R |
0.61377134849975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826b1 |
Quadratic twists by: -11 |