Atkin-Lehner |
2- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
41968d |
Isogeny class |
Conductor |
41968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1892285415424 = -1 · 224 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 0 3 -1 3 -3 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1669,-60758] |
[a1,a2,a3,a4,a6] |
j |
125525735343/461983744 |
j-invariant |
L |
1.6933232137214 |
L(r)(E,1)/r! |
Ω |
0.42333080339718 |
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 |
5246b1 |
Quadratic twists by: -4 |