Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645h |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1437880055625 = 314 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56610,-5169825] |
[a1,a2,a3,a4,a6] |
j |
27521998305852961/1972400625 |
j-invariant |
L |
2.4760976095195 |
L(r)(E,1)/r! |
Ω |
0.30951220118994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215j1 108225h1 |
Quadratic twists by: -3 5 |