Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550b |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
410592 |
Modular degree for the optimal curve |
Δ |
1684065890070323200 = 213 · 52 · 7 · 537 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -4 5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-499775,-121019195] |
[a1,a2,a3,a4,a6] |
j |
552215566319760630625/67362635602812928 |
j-invariant |
L |
1.2669547187544 |
L(r)(E,1)/r! |
Ω |
0.18099353125063 |
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 |
18550u1 129850h1 |
Quadratic twists by: 5 -7 |