Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742u |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-22324896 = -1 · 25 · 37 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31,209] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
4657463/30624 |
j-invariant |
L |
4.5231657965447 |
L(r)(E,1)/r! |
Ω |
1.5558856732479 |
Real period |
R |
0.14535662466454 |
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 |
45936bs1 1914f1 63162bd1 |
Quadratic twists by: -4 -3 -11 |