Atkin-Lehner |
2+ 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576s |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-41287683419136 = -1 · 210 · 34 · 72 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8616,-25884] |
[a1,a2,a3,a4,a6] |
j |
69070153281692/40320003339 |
j-invariant |
L |
3.0394235112146 |
L(r)(E,1)/r! |
Ω |
0.37992796710962 |
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 |
57288l3 |
Quadratic twists by: -4 |