Atkin-Lehner |
7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
6083d |
Isogeny class |
Conductor |
6083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1400 |
Modular degree for the optimal curve |
Δ |
-14605283 = -1 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
0 1 -4 7+ 11- 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,55,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
18067226624/14605283 |
j-invariant |
L |
2.6183635244918 |
L(r)(E,1)/r! |
Ω |
1.2318841200531 |
Real period |
R |
2.1254949892356 |
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 |
97328y1 54747e1 42581m1 66913e1 |
Quadratic twists by: -4 -3 -7 -11 |