Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690c |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
586080 |
Modular degree for the optimal curve |
Δ |
2.2479868505094E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 2 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-857935,203970925] |
[a1,a2,a3,a4,a6] |
Generators |
[3171:274846:27] |
Generators of the group modulo torsion |
j |
19882608489/6400000 |
j-invariant |
L |
1.7813270007348 |
L(r)(E,1)/r! |
Ω |
0.1978725369861 |
Real period |
R |
9.0023963298143 |
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 |
109520n1 123210df1 68450bd1 13690n1 |
Quadratic twists by: -4 -3 5 37 |