Atkin-Lehner |
2+ 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862b |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
42902244 = 22 · 33 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183,-855] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] [-8:11:1] |
Generators of the group modulo torsion |
j |
25179520491/1588972 |
j-invariant |
L |
6.7682151631568 |
L(r)(E,1)/r! |
Ω |
1.3028365078621 |
Real period |
R |
1.2987460671818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862be1 |
Quadratic twists by: -3 |