Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568k |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-7.0623549951994E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -6 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,848259,-270573291] |
[a1,a2,a3,a4,a6] |
j |
7500990645099008/7848009842967 |
j-invariant |
L |
0.84457967427559 |
L(r)(E,1)/r! |
Ω |
0.10557235756236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cz1 113568cg1 |
Quadratic twists by: -4 13 |