Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bc |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
431599841548001280 = 213 · 316 · 5 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13771080,19673225536] |
[a1,a2,a3,a4,a6] |
j |
396186985609327141246081/592043678392320 |
j-invariant |
L |
1.0138999248984 |
L(r)(E,1)/r! |
Ω |
0.25347491949537 |
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 |
39270bz2 |
Quadratic twists by: -3 |