Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200cz |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
21465000000 = 26 · 34 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8758,312488] |
[a1,a2,a3,a4,a6] |
Generators |
[28:300:1] |
Generators of the group modulo torsion |
j |
74299881664/21465 |
j-invariant |
L |
9.2085389964133 |
L(r)(E,1)/r! |
Ω |
1.1826595889526 |
Real period |
R |
1.9465742849466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200bw1 25440h1 |
Quadratic twists by: -4 5 |