Atkin-Lehner |
2+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20768b |
Isogeny class |
Conductor |
20768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-456896 = -1 · 26 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 11+ -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110,484] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:22:1] [0:22:1] |
Generators of the group modulo torsion |
j |
-2320940224/7139 |
j-invariant |
L |
6.2632130848303 |
L(r)(E,1)/r! |
Ω |
2.9755561165146 |
Real period |
R |
0.52622206064863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20768g1 41536f1 |
Quadratic twists by: -4 8 |