Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104cc |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-29290389143552 = -1 · 215 · 197 |
Discriminant |
Eigenvalues |
2- -3 0 1 2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7220,109744] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2888:1] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
3.3088742281152 |
L(r)(E,1)/r! |
Ω |
0.41980298152733 |
Real period |
R |
0.98524616716537 |
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 |
23104cb1 11552k1 1216m1 |
Quadratic twists by: -4 8 -19 |