Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20768g |
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 |
[44:286:1] |
Generators of the group modulo torsion |
j |
-2320940224/7139 |
j-invariant |
L |
6.9942712669979 |
L(r)(E,1)/r! |
Ω |
0.73639847226691 |
Real period |
R |
2.3744859374392 |
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 |
20768b1 41536d1 |
Quadratic twists by: -4 8 |