Atkin-Lehner |
5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39425b |
Isogeny class |
Conductor |
39425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
44476328125 = 57 · 193 · 83 |
Discriminant |
Eigenvalues |
2 3 5+ 2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-925,3781] |
[a1,a2,a3,a4,a6] |
Generators |
[870:2267:216] |
Generators of the group modulo torsion |
j |
5601816576/2846485 |
j-invariant |
L |
20.507023315192 |
L(r)(E,1)/r! |
Ω |
1.0053640351101 |
Real period |
R |
3.3996016366585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7885b1 |
Quadratic twists by: 5 |