Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19360n |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-6036346088960 = -1 · 29 · 5 · 119 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11+ 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26176,1625644] |
[a1,a2,a3,a4,a6] |
j |
-1643032/5 |
j-invariant |
L |
1.5176224902467 |
L(r)(E,1)/r! |
Ω |
0.75881124512337 |
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 |
19360o1 38720ct1 96800c1 19360a1 |
Quadratic twists by: -4 8 5 -11 |