Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dd |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-85883490 = -1 · 2 · 38 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698,-6933] |
[a1,a2,a3,a4,a6] |
j |
-51520374361/117810 |
j-invariant |
L |
0.92880534687129 |
L(r)(E,1)/r! |
Ω |
0.46440279440435 |
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 |
39270r1 |
Quadratic twists by: -3 |