Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cp |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1647378432 = 216 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,-5247] |
[a1,a2,a3,a4,a6] |
j |
381775972/25137 |
j-invariant |
L |
1.9297802718032 |
L(r)(E,1)/r! |
Ω |
0.96489013590167 |
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 |
25536bd1 6384l1 76608fo1 |
Quadratic twists by: -4 8 -3 |