Atkin-Lehner |
2- 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650o |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-43460000000 = -1 · 28 · 57 · 41 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -5 -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,870,1497] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] [49:375:1] |
Generators of the group modulo torsion |
j |
4665834711/2781440 |
j-invariant |
L |
9.1228220776335 |
L(r)(E,1)/r! |
Ω |
0.69676964778514 |
Real period |
R |
0.40915701578804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21730c1 |
Quadratic twists by: 5 |