Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
481697547878400 = 216 · 3 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112001,14351199] |
[a1,a2,a3,a4,a6] |
j |
2370900673008004/7350121275 |
j-invariant |
L |
4.2146747767456 |
L(r)(E,1)/r! |
Ω |
0.52683437689769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fp4 14280bp4 |
Quadratic twists by: -4 8 |