Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bg |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
745930343215872 = 28 · 39 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71415,-7227198] |
[a1,a2,a3,a4,a6] |
Generators |
[-32561606:-40471145:195112] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
5.7306446116122 |
L(r)(E,1)/r! |
Ω |
0.29237518009325 |
Real period |
R |
9.8001557628828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19044c4 76176bg2 144a4 |
Quadratic twists by: -4 -3 -23 |