Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bs |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4413181522176 = 28 · 37 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4199,-26337] |
[a1,a2,a3,a4,a6] |
j |
95443993/51456 |
j-invariant |
L |
5.0530463099168 |
L(r)(E,1)/r! |
Ω |
0.63163078893034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19698b1 1206e1 |
Quadratic twists by: -3 -7 |