Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608u |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2568192 |
Modular degree for the optimal curve |
Δ |
-1356963210412904448 = -1 · 212 · 325 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5626956,-5137883264] |
[a1,a2,a3,a4,a6] |
j |
-6598675828987167808/454444233597 |
j-invariant |
L |
1.5683727649998 |
L(r)(E,1)/r! |
Ω |
0.049011656911391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608p1 37536x1 |
Quadratic twists by: -4 -3 |