Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336u |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
453376 = 28 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -3 3 7+ 11+ 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,58] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
12869712/1771 |
j-invariant |
L |
4.0960692257489 |
L(r)(E,1)/r! |
Ω |
2.8525829433044 |
Real period |
R |
1.4359159074983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084k1 113344dq1 |
Quadratic twists by: -4 8 |