Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325r |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
-66018303003046875 = -1 · 3 · 57 · 137 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -1 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6383,-12365731] |
[a1,a2,a3,a4,a6] |
Generators |
[273:2512:1] [723:19012:1] |
Generators of the group modulo torsion |
j |
-1840968073216/4225171392195 |
j-invariant |
L |
10.218028716584 |
L(r)(E,1)/r! |
Ω |
0.15776154483644 |
Real period |
R |
1.1565860279851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065f1 |
Quadratic twists by: 5 |