Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cy |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
30659800647700 = 22 · 52 · 73 · 197 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 5 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8010,-69803] |
[a1,a2,a3,a4,a6] |
j |
48317985/26068 |
j-invariant |
L |
12.900552595679 |
L(r)(E,1)/r! |
Ω |
0.5375229885341 |
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 |
126350bj1 6650h1 |
Quadratic twists by: 5 -19 |