Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240im |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2594233310312448000 = -1 · 214 · 32 · 53 · 73 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283781,96811875] |
[a1,a2,a3,a4,a6] |
j |
-154260682146128896/158339435443875 |
j-invariant |
L |
3.2671127514055 |
L(r)(E,1)/r! |
Ω |
0.23336516164834 |
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 |
114240bg1 28560s1 |
Quadratic twists by: -4 8 |