Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192o |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[44:324:1] |
Generators of the group modulo torsion |
j |
512/50787 |
j-invariant |
L |
4.3120153364276 |
L(r)(E,1)/r! |
Ω |
0.8133837414696 |
Real period |
R |
0.66266620485553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60192h1 120384bs1 20064g1 |
Quadratic twists by: -4 8 -3 |