Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5676i |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
68112 = 24 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34,65] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
279738112/4257 |
j-invariant |
L |
4.0862311172522 |
L(r)(E,1)/r! |
Ω |
3.4817213839783 |
Real period |
R |
0.19560396839217 |
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 |
22704s1 90816d1 17028h1 62436m1 |
Quadratic twists by: -4 8 -3 -11 |