Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860h |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-6915294000 = -1 · 24 · 38 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-4003] |
[a1,a2,a3,a4,a6] |
j |
-1048576/592875 |
j-invariant |
L |
1.1952767094708 |
L(r)(E,1)/r! |
Ω |
0.59763841837434 |
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 |
31620g1 |
Quadratic twists by: -3 |