Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dn |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-888268767232 = -1 · 214 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14833,-691887] |
[a1,a2,a3,a4,a6] |
j |
-22030281250000/54215623 |
j-invariant |
L |
1.7301576970601 |
L(r)(E,1)/r! |
Ω |
0.21626978213817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bd1 28336d1 |
Quadratic twists by: -4 8 |