Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032i |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
3193297767580752 = 24 · 38 · 133 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101199,-12123018] |
[a1,a2,a3,a4,a6] |
j |
7163688351202097152/199581110473797 |
j-invariant |
L |
3.2175515263489 |
L(r)(E,1)/r! |
Ω |
0.26812929386241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38064e1 57096q1 |
Quadratic twists by: -4 -3 |