Atkin-Lehner |
5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126175f |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
10603116125 = 53 · 77 · 103 |
Discriminant |
Eigenvalues |
0 0 5- 7- -4 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-980,-10719] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] |
Generators of the group modulo torsion |
j |
7077888/721 |
j-invariant |
L |
4.7120304401764 |
L(r)(E,1)/r! |
Ω |
0.8588896657705 |
Real period |
R |
0.68577355025129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998243216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126175i1 18025g1 |
Quadratic twists by: 5 -7 |