Atkin-Lehner |
2- 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dx |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
-22339359330140160 = -1 · 217 · 312 · 5 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1292,-7190769] |
[a1,a2,a3,a4,a6] |
j |
-326940373369/30643839959040 |
j-invariant |
L |
5.9224151526921 |
L(r)(E,1)/r! |
Ω |
0.17418868411191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39270d1 |
Quadratic twists by: -3 |