Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5733l |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-7804717011 = -1 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2 3- -3 7- 6 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,441,2315] |
[a1,a2,a3,a4,a6] |
j |
110592/91 |
j-invariant |
L |
3.4018082375303 |
L(r)(E,1)/r! |
Ω |
0.85045205938257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728ge1 637d1 819c1 74529bi1 |
Quadratic twists by: -4 -3 -7 13 |