Atkin-Lehner |
2+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19240b |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2278016000 = 210 · 53 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443,2758] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:70:1] |
Generators of the group modulo torsion |
j |
9389337156/2224625 |
j-invariant |
L |
4.7596147612592 |
L(r)(E,1)/r! |
Ω |
1.3707185547233 |
Real period |
R |
3.4723501369835 |
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 |
38480d1 96200n1 |
Quadratic twists by: -4 5 |