Atkin-Lehner |
2- 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790ci |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-41890124592000 = -1 · 27 · 36 · 53 · 174 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24413,1506917] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-344:1] |
Generators of the group modulo torsion |
j |
-2207206464510601/57462448000 |
j-invariant |
L |
8.5131064182737 |
L(r)(E,1)/r! |
Ω |
0.64185269140807 |
Real period |
R |
0.23684524424461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310h1 |
Quadratic twists by: -3 |