Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768cd |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-1732888800576 = -1 · 26 · 316 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 1 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2840,-25826] |
[a1,a2,a3,a4,a6] |
j |
39568157590976/27076387509 |
j-invariant |
L |
0.9502567879666 |
L(r)(E,1)/r! |
Ω |
0.47512894709851 |
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 |
120768dc1 60384q1 |
Quadratic twists by: -4 8 |