Atkin-Lehner |
7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77b |
Isogeny class |
Conductor |
77 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-539 = -1 · 72 · 11 |
Discriminant |
Eigenvalues |
0 1 3 7- 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-89,295] |
[a1,a2,a3,a4,a6] |
j |
-78843215872/539 |
j-invariant |
L |
1.0326067104232 |
L(r)(E,1)/r! |
Ω |
4.6467301969046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1232f1 4928o1 693c1 1925a1 |
Quadratic twists by: -4 8 -3 5 |