Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18550u |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
2052960 |
Modular degree for the optimal curve |
Δ |
2.6313529532349E+22 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 -5 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12494388,-15102410608] |
[a1,a2,a3,a4,a6] |
j |
552215566319760630625/67362635602812928 |
j-invariant |
L |
3.1567679470402 |
L(r)(E,1)/r! |
Ω |
0.080942767872827 |
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 |
18550b1 129850de1 |
Quadratic twists by: 5 -7 |