Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128d |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
56035584 = 28 · 33 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,270] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] [13:32:1] |
Generators of the group modulo torsion |
j |
21882096/8107 |
j-invariant |
L |
9.7148464209205 |
L(r)(E,1)/r! |
Ω |
1.8150145287754 |
Real period |
R |
2.6762448087637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064m1 106128a1 |
Quadratic twists by: -4 -3 |