Atkin-Lehner |
5- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59225f |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
816000 |
Modular degree for the optimal curve |
Δ |
-5055996607421875 = -1 · 59 · 23 · 1034 |
Discriminant |
Eigenvalues |
2 -2 5- 5 -4 -2 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,28292,2898869] |
[a1,a2,a3,a4,a6] |
j |
1282239852544/2588670263 |
j-invariant |
L |
1.1927441098646 |
L(r)(E,1)/r! |
Ω |
0.29818602860658 |
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 |
59225l1 |
Quadratic twists by: 5 |