Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240n |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
383846400000 = 214 · 32 · 55 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133361,464786865] |
[a1,a2,a3,a4,a6] |
j |
9826728297992948176/23428125 |
j-invariant |
L |
1.2464628044806 |
L(r)(E,1)/r! |
Ω |
0.62323127236654 |
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 |
114240ji2 14280by2 |
Quadratic twists by: -4 8 |