Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384da |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-38936158272 = -1 · 26 · 37 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,9232] |
[a1,a2,a3,a4,a6] |
j |
78402752/834537 |
j-invariant |
L |
3.3884363311181 |
L(r)(E,1)/r! |
Ω |
0.84710945096187 |
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 |
120384dj1 60192x2 40128cf1 |
Quadratic twists by: -4 8 -3 |