Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23256g |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-2350179173376 = -1 · 210 · 39 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20019,-1092706] |
[a1,a2,a3,a4,a6] |
Generators |
[695:17908:1] |
Generators of the group modulo torsion |
j |
-1188566172868/3148281 |
j-invariant |
L |
4.5068994416099 |
L(r)(E,1)/r! |
Ω |
0.20065041294091 |
Real period |
R |
5.615362778916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512m1 7752f1 |
Quadratic twists by: -4 -3 |