Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886bg |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-26661886699650048 = -1 · 210 · 34 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40351,-7193185] |
[a1,a2,a3,a4,a6] |
Generators |
[1139:-39532:1] [1062:5261:8] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
13.746039485467 |
L(r)(E,1)/r! |
Ω |
0.19097843163607 |
Real period |
R |
0.59980767519173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
966a1 |
Quadratic twists by: -11 |