Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785b |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1080843205325 = -1 · 52 · 138 · 53 |
Discriminant |
Eigenvalues |
1 1 5+ 2 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1694,56617] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5656:1] |
Generators of the group modulo torsion |
j |
-658489/1325 |
j-invariant |
L |
9.0717588999627 |
L(r)(E,1)/r! |
Ω |
0.77675899127188 |
Real period |
R |
5.8394939755539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44785f1 |
Quadratic twists by: 13 |