Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770be |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-106271691572217600 = -1 · 28 · 37 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,50527,15067028] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-4070:1] |
Generators of the group modulo torsion |
j |
2955605685551/22016966400 |
j-invariant |
L |
6.2817518741334 |
L(r)(E,1)/r! |
Ω |
0.24389145121257 |
Real period |
R |
0.45993469657276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290ba1 |
Quadratic twists by: 13 |