Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13524j |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-44906785185024 = -1 · 28 · 33 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8804,56468] |
[a1,a2,a3,a4,a6] |
Generators |
[143:2064:1] |
Generators of the group modulo torsion |
j |
1043504/621 |
j-invariant |
L |
5.3641528917875 |
L(r)(E,1)/r! |
Ω |
0.39049216773892 |
Real period |
R |
4.5789675482675 |
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 |
54096bi1 40572o1 13524b1 |
Quadratic twists by: -4 -3 -7 |