Atkin-Lehner |
2- 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348h |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
390604032 = 28 · 36 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:14:1] [-4:18:1] |
Generators of the group modulo torsion |
j |
4194304/2093 |
j-invariant |
L |
8.044514555962 |
L(r)(E,1)/r! |
Ω |
1.3506508224588 |
Real period |
R |
0.99267138752415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372c1 |
Quadratic twists by: -3 |