Atkin-Lehner |
3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125373g |
Isogeny class |
Conductor |
125373 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-65362434106059 = -1 · 35 · 237 · 79 |
Discriminant |
Eigenvalues |
-2 3- 3 0 1 -6 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9346,-171166] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-794:1] |
Generators of the group modulo torsion |
j |
609800192/441531 |
j-invariant |
L |
6.0515692931215 |
L(r)(E,1)/r! |
Ω |
0.34829960802952 |
Real period |
R |
0.8687304118241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5451b1 |
Quadratic twists by: -23 |