Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cr |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
24064000000000 = 218 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8033,-147937] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4000:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
7.0372556427746 |
L(r)(E,1)/r! |
Ω |
0.52348997296864 |
Real period |
R |
0.84018510435909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200f1 18800ba1 15040x1 |
Quadratic twists by: -4 8 5 |