Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734u |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18296339263488 = -1 · 212 · 310 · 11 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3608,221760] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:568:1] |
Generators of the group modulo torsion |
j |
-5194345364106625/18296339263488 |
j-invariant |
L |
9.3834688069292 |
L(r)(E,1)/r! |
Ω |
0.60349564187165 |
Real period |
R |
0.25914213116292 |
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 |
59202c1 |
Quadratic twists by: -3 |