Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550n |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4016349514772000000 = -1 · 28 · 56 · 74 · 535 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 0 -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,91695,-95850303] |
[a1,a2,a3,a4,a6] |
Generators |
[1609:64120:1] |
Generators of the group modulo torsion |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
4.1064273435958 |
L(r)(E,1)/r! |
Ω |
0.11850702237668 |
Real period |
R |
0.21657088654119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742d1 129850cw1 |
Quadratic twists by: 5 -7 |