Atkin-Lehner |
7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
6083f |
Isogeny class |
Conductor |
6083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
536 |
Modular degree for the optimal curve |
Δ |
-6083 = -1 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2 1 0 7- 11+ -6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,7] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3:8] |
Generators of the group modulo torsion |
j |
-64000000/6083 |
j-invariant |
L |
8.544705336161 |
L(r)(E,1)/r! |
Ω |
4.1491607351675 |
Real period |
R |
2.059381615115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97328q1 54747y1 42581i1 66913c1 |
Quadratic twists by: -4 -3 -7 -11 |