Atkin-Lehner |
2- 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36024f |
Isogeny class |
Conductor |
36024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
494177232 = 24 · 3 · 194 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199,-238] |
[a1,a2,a3,a4,a6] |
j |
54744881152/30886077 |
j-invariant |
L |
2.7373763475109 |
L(r)(E,1)/r! |
Ω |
1.3686881737618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72048c1 108072d1 |
Quadratic twists by: -4 -3 |