Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104m |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-117161556574208 = -1 · 217 · 197 |
Discriminant |
Eigenvalues |
2+ 1 0 3 -2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12033,723551] |
[a1,a2,a3,a4,a6] |
j |
-31250/19 |
j-invariant |
L |
2.1865801513316 |
L(r)(E,1)/r! |
Ω |
0.5466450378329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bu1 2888c1 1216c1 |
Quadratic twists by: -4 8 -19 |