Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290be |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
105503064301250 = 2 · 54 · 78 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 6 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75224,-7906970] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:202:1] |
Generators of the group modulo torsion |
j |
557752041/1250 |
j-invariant |
L |
5.1597002910103 |
L(r)(E,1)/r! |
Ω |
0.2883159442897 |
Real period |
R |
0.49711093304338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290k1 59290do1 |
Quadratic twists by: -7 -11 |