Atkin-Lehner |
2- 3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682cb |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1900767862566144 = -1 · 28 · 310 · 113 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109553,14140833] |
[a1,a2,a3,a4,a6] |
Generators |
[851:22740:1] [-337:3732:1] |
Generators of the group modulo torsion |
j |
-199464352569860041/2607363323136 |
j-invariant |
L |
16.210090690439 |
L(r)(E,1)/r! |
Ω |
0.46968846065819 |
Real period |
R |
0.11983483062308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894f1 |
Quadratic twists by: -3 |