Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
120328g |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1994496 |
Modular degree for the optimal curve |
Δ |
6900706428597892352 = 28 · 1313 · 89 |
Discriminant |
Eigenvalues |
2- -2 0 -1 -2 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-749233,215005155] |
[a1,a2,a3,a4,a6] |
j |
37642192000000/5584618013 |
j-invariant |
L |
0.90698522921051 |
L(r)(E,1)/r! |
Ω |
0.22674611918626 |
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 |
9256a1 |
Quadratic twists by: 13 |