Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5538a |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-18430464 = -1 · 29 · 3 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 1 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
1431435383/18430464 |
j-invariant |
L |
2.5383441713454 |
L(r)(E,1)/r! |
Ω |
1.0685995233742 |
Real period |
R |
1.1876966608269 |
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 |
44304n1 16614s1 71994bm1 |
Quadratic twists by: -4 -3 13 |