Atkin-Lehner |
2+ 3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354k |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3594007775601936 = 24 · 314 · 72 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83466,-8800988] |
[a1,a2,a3,a4,a6] |
j |
88212049729596577/4930051818384 |
j-invariant |
L |
1.1274380021126 |
L(r)(E,1)/r! |
Ω |
0.28185950522349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41118j2 |
Quadratic twists by: -3 |