Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538p |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
567221995804742432 = 25 · 78 · 112 · 714 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-975861,369192800] |
[a1,a2,a3,a4,a6] |
Generators |
[11910:127973:27] |
Generators of the group modulo torsion |
j |
873572025235533625/4821307412768 |
j-invariant |
L |
2.3723540539557 |
L(r)(E,1)/r! |
Ω |
0.29269584786023 |
Real period |
R |
1.0131481508472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934c2 |
Quadratic twists by: -7 |