Atkin-Lehner |
2+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16280c |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-6023600 = -1 · 24 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[29:150:1] |
Generators of the group modulo torsion |
j |
-1348614144/376475 |
j-invariant |
L |
4.6194861082196 |
L(r)(E,1)/r! |
Ω |
0.85263390184521 |
Real period |
R |
2.7089505227405 |
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 |
32560b1 81400m1 |
Quadratic twists by: -4 5 |