Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ci |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
752125394944 = 214 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11+ -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33297,-2349361] |
[a1,a2,a3,a4,a6] |
j |
249190874485072/45906091 |
j-invariant |
L |
0.70685777004586 |
L(r)(E,1)/r! |
Ω |
0.35342884557675 |
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 |
113344bz1 28336x1 |
Quadratic twists by: -4 8 |