Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158u |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-10082380263951312 = -1 · 24 · 316 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82074,-10265636] |
[a1,a2,a3,a4,a6] |
j |
-211560732786353401/34887128941008 |
j-invariant |
L |
4.472607840542 |
L(r)(E,1)/r! |
Ω |
0.1397689950176 |
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 |
64158k1 |
Quadratic twists by: 17 |