Atkin-Lehner |
3+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325i |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
2869023796716796875 = 310 · 59 · 135 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1386075,622212750] |
[a1,a2,a3,a4,a6] |
j |
150783685390558277/1468940183919 |
j-invariant |
L |
1.022078480106 |
L(r)(E,1)/r! |
Ω |
0.25551962028364 |
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 |
65325bc1 |
Quadratic twists by: 5 |