Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176cn |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
326974205952 = 212 · 38 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158907,24381610] |
[a1,a2,a3,a4,a6] |
Generators |
[23:4554:1] [138:2254:1] |
Generators of the group modulo torsion |
j |
12214672127/9 |
j-invariant |
L |
6.8551202280789 |
L(r)(E,1)/r! |
Ω |
0.8002873113449 |
Real period |
R |
4.2829119810974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4761e2 25392bh2 76176ck2 |
Quadratic twists by: -4 -3 -23 |