Atkin-Lehner |
5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46255c |
Isogeny class |
Conductor |
46255 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-588369381875 = -1 · 54 · 113 · 294 |
Discriminant |
Eigenvalues |
-1 -3 5+ -2 11+ 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8568,309606] |
[a1,a2,a3,a4,a6] |
Generators |
[-810:3301:8] [80:322:1] |
Generators of the group modulo torsion |
j |
-98338272129/831875 |
j-invariant |
L |
3.419141660706 |
L(r)(E,1)/r! |
Ω |
0.92250568650944 |
Real period |
R |
0.61772729619384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46255d1 |
Quadratic twists by: 29 |