Atkin-Lehner |
11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10769b |
Isogeny class |
Conductor |
10769 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1734358219 = -1 · 117 · 89 |
Discriminant |
Eigenvalues |
0 2 3 0 11- 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81,1957] |
[a1,a2,a3,a4,a6] |
Generators |
[10:359:8] |
Generators of the group modulo torsion |
j |
32768/979 |
j-invariant |
L |
6.246782844559 |
L(r)(E,1)/r! |
Ω |
1.1231825258548 |
Real period |
R |
1.3904202346374 |
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 |
96921o1 979a1 |
Quadratic twists by: -3 -11 |