Atkin-Lehner |
2+ 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538f |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
46406493461096384 = 26 · 78 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-887220,-321565198] |
[a1,a2,a3,a4,a6] |
Generators |
[-535:463:1] [1376:31921:1] |
Generators of the group modulo torsion |
j |
13397774323861753/8049973184 |
j-invariant |
L |
3.9857373393199 |
L(r)(E,1)/r! |
Ω |
0.15556340663333 |
Real period |
R |
2.1351086702467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538o2 |
Quadratic twists by: -7 |