Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522f |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40800 |
Modular degree for the optimal curve |
Δ |
-3856991684 = -1 · 22 · 72 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 0 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,2986] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:55:1] |
Generators of the group modulo torsion |
j |
-139317577/78714116 |
j-invariant |
L |
6.2958536479419 |
L(r)(E,1)/r! |
Ω |
1.1300260936696 |
Real period |
R |
2.7857116236376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522b1 |
Quadratic twists by: -7 |