Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642x |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22803509336159574 = -1 · 2 · 38 · 1110 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,61768,4232790] |
[a1,a2,a3,a4,a6] |
j |
14711527911527/12871986534 |
j-invariant |
L |
7.9223204899887 |
L(r)(E,1)/r! |
Ω |
0.24757251530958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422f4 |
Quadratic twists by: -11 |