Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472u |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-944354977364736 = -1 · 28 · 312 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24951,2118310] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1890:1] [-43:1764:1] |
Generators of the group modulo torsion |
j |
-9204921456208/5060201139 |
j-invariant |
L |
9.1366542317313 |
L(r)(E,1)/r! |
Ω |
0.46091693777917 |
Real period |
R |
1.6518981843293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736o2 19824j2 |
Quadratic twists by: -4 -3 |