Atkin-Lehner |
11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
101761k |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2923200 |
Modular degree for the optimal curve |
Δ |
-9.7483873915076E+18 |
Discriminant |
Eigenvalues |
1 3 -2 2 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,184442,147046235] |
[a1,a2,a3,a4,a6] |
Generators |
[11334:460667:27] |
Generators of the group modulo torsion |
j |
783/11 |
j-invariant |
L |
13.701257368665 |
L(r)(E,1)/r! |
Ω |
0.17025408064386 |
Real period |
R |
6.7062794914695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251b1 101761d1 |
Quadratic twists by: -11 29 |