Atkin-Lehner |
2+ 3- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bh |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
408960 |
Modular degree for the optimal curve |
Δ |
58972113281250 = 2 · 39 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25576,-1532452] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:236:1] |
Generators of the group modulo torsion |
j |
947255494661/30193722 |
j-invariant |
L |
7.1096350383995 |
L(r)(E,1)/r! |
Ω |
0.37826077312177 |
Real period |
R |
1.0441995358557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bs1 |
Quadratic twists by: 5 |