Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840u |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58078068111360 = 211 · 36 · 5 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23643,-1350378] |
[a1,a2,a3,a4,a6] |
j |
978980357682/38900455 |
j-invariant |
L |
3.087639015574 |
L(r)(E,1)/r! |
Ω |
0.3859547615224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760f4 |
Quadratic twists by: -3 |