Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bg |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
3.74309580568E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11- -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1488302,-634455884] |
[a1,a2,a3,a4,a6] |
Generators |
[-643:7884:1] |
Generators of the group modulo torsion |
j |
85713473128801/8800000000 |
j-invariant |
L |
3.1980854901802 |
L(r)(E,1)/r! |
Ω |
0.13759261855925 |
Real period |
R |
0.72634835079983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290m1 5390bc1 |
Quadratic twists by: -7 -11 |