Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104l |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1874584905187328 = -1 · 221 · 197 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 6 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358593,-82797409] |
[a1,a2,a3,a4,a6] |
j |
-413493625/152 |
j-invariant |
L |
3.5116557117833 |
L(r)(E,1)/r! |
Ω |
0.097545991993981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bt1 722e1 1216b1 |
Quadratic twists by: -4 8 -19 |