Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13524b |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-381701376 = -1 · 28 · 33 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] |
Generators of the group modulo torsion |
j |
1043504/621 |
j-invariant |
L |
4.3222194465423 |
L(r)(E,1)/r! |
Ω |
0.98860110583604 |
Real period |
R |
1.4573520169146 |
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 |
54096cd1 40572l1 13524j1 |
Quadratic twists by: -4 -3 -7 |