Atkin-Lehner |
3+ 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545a |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-49471435546875 = -1 · 33 · 513 · 19 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 2 7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21333,1246124] |
[a1,a2,a3,a4,a6] |
j |
-39766351597719552/1832275390625 |
j-invariant |
L |
1.2563881570156 |
L(r)(E,1)/r! |
Ω |
0.62819408040276 |
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 |
67545c1 |
Quadratic twists by: -3 |