Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074r |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
14732799715392 = 26 · 3 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56650,-5210089] |
[a1,a2,a3,a4,a6] |
j |
832972004929/610368 |
j-invariant |
L |
1.8568203597486 |
L(r)(E,1)/r! |
Ω |
0.3094700599581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222x1 1122n1 |
Quadratic twists by: -3 17 |