Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810c |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.8300806788599E+42 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39957116729955,151481284475155537301] |
[a1,a2,a3,a4,a6] |
j |
-358438661418663089104007061768877945764003/296198784680175781250000000000000000000 |
j-invariant |
L |
0.14061812005154 |
L(r)(E,1)/r! |
Ω |
0.0021971635277639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cr2 |
Quadratic twists by: -3 |