Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296m |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5478663168 = -1 · 210 · 32 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,176,3388] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-68:1] [38:252:1] |
Generators of the group modulo torsion |
j |
119164/1089 |
j-invariant |
L |
8.2834912665867 |
L(r)(E,1)/r! |
Ω |
0.99335281930305 |
Real period |
R |
2.0847303963023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76296t2 |
Quadratic twists by: 17 |