Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808p |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
8620500860928 = 214 · 33 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10688,404736] |
[a1,a2,a3,a4,a6] |
Generators |
[37:242:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
3.7128946450139 |
L(r)(E,1)/r! |
Ω |
0.72099635116872 |
Real period |
R |
1.2874179734042 |
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 |
726h1 23232dm1 17424bm1 528g1 |
Quadratic twists by: -4 8 -3 -11 |