Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3528a |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-132765696 = -1 · 211 · 33 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -5 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-882] |
[a1,a2,a3,a4,a6] |
Generators |
[18:48:1] |
Generators of the group modulo torsion |
j |
-2646 |
j-invariant |
L |
3.6144786168945 |
L(r)(E,1)/r! |
Ω |
0.67289715909112 |
Real period |
R |
2.6857585650804 |
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 |
7056a1 28224d1 3528m1 88200ek1 |
Quadratic twists by: -4 8 -3 5 |