Atkin-Lehner |
2+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522b |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
-453771214630916 = -1 · 22 · 78 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 0 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1936,-1026220] |
[a1,a2,a3,a4,a6] |
Generators |
[118:578:1] |
Generators of the group modulo torsion |
j |
-139317577/78714116 |
j-invariant |
L |
1.8459042843583 |
L(r)(E,1)/r! |
Ω |
0.23714695169635 |
Real period |
R |
0.25945997768495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522f1 |
Quadratic twists by: -7 |