Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808q |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-160579584 = -1 · 214 · 34 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 11- 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[18:18:1] |
Generators of the group modulo torsion |
j |
-2259169/324 |
j-invariant |
L |
3.6572297360475 |
L(r)(E,1)/r! |
Ω |
0.61751989983715 |
Real period |
R |
1.480612097283 |
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 |
726d1 23232dn1 17424bq1 5808r1 |
Quadratic twists by: -4 8 -3 -11 |