Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200f |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
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 |
[-13:500:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
5.4229319801764 |
L(r)(E,1)/r! |
Ω |
0.60915304321929 |
Real period |
R |
1.1128016271146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cr1 1175b1 15040d1 |
Quadratic twists by: -4 8 5 |