Atkin-Lehner |
2+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1288a |
Isogeny class |
Conductor |
1288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-3791872 = -1 · 210 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,198] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
2.7504832137211 |
L(r)(E,1)/r! |
Ω |
2.3936533408905 |
Real period |
R |
1.1490733293476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2576h1 10304a1 11592o1 32200w1 |
Quadratic twists by: -4 8 -3 5 |