Atkin-Lehner |
2+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950o |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
3551362750000 = 24 · 56 · 13 · 1033 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 4 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3817,5341] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:211:1] |
Generators of the group modulo torsion |
j |
393671672289/227287216 |
j-invariant |
L |
1.6968581424252 |
L(r)(E,1)/r! |
Ω |
0.67153454225819 |
Real period |
R |
0.42113945408414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678j1 |
Quadratic twists by: 5 |