Atkin-Lehner |
2- 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426o |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-33618773952 = -1 · 26 · 38 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4244,107831] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-71:1] |
Generators of the group modulo torsion |
j |
-11593815110137/46116288 |
j-invariant |
L |
9.190923093135 |
L(r)(E,1)/r! |
Ω |
1.1706387666337 |
Real period |
R |
0.65426695201945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142d1 |
Quadratic twists by: -3 |