Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192h |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-151649169408 = -1 · 212 · 311 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-18736] |
[a1,a2,a3,a4,a6] |
j |
512/50787 |
j-invariant |
L |
1.8915766769009 |
L(r)(E,1)/r! |
Ω |
0.47289416834426 |
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 |
60192o1 120384p1 20064o1 |
Quadratic twists by: -4 8 -3 |