Atkin-Lehner |
2- 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850ck |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
49052250000 = 24 · 33 · 56 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1038,-7308] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:84:1] |
Generators of the group modulo torsion |
j |
7916293657/3139344 |
j-invariant |
L |
13.259125404738 |
L(r)(E,1)/r! |
Ω |
0.87029350854599 |
Real period |
R |
0.63480142420557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3354a1 |
Quadratic twists by: 5 |