Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810be |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16060212630 = 2 · 38 · 5 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3465,-77409] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:26:1] [-33:30:1] |
Generators of the group modulo torsion |
j |
6312136778641/22030470 |
j-invariant |
L |
8.031833938724 |
L(r)(E,1)/r! |
Ω |
0.62238485684831 |
Real period |
R |
3.2262328728349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cr2 |
Quadratic twists by: -3 |