Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734v |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-28438875159552 = -1 · 210 · 310 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33638,2385636] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1276:1] |
Generators of the group modulo torsion |
j |
-4209349803150390625/28438875159552 |
j-invariant |
L |
8.1876937238147 |
L(r)(E,1)/r! |
Ω |
0.66796079533245 |
Real period |
R |
0.12257745935133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202e1 |
Quadratic twists by: -3 |