Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3528n |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-39846304512 = -1 · 28 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 -3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12348,-528220] |
[a1,a2,a3,a4,a6] |
j |
-5225472 |
j-invariant |
L |
2.7173567812682 |
L(r)(E,1)/r! |
Ω |
0.22644639843901 |
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 |
7056c1 28224h1 3528b1 88200a1 |
Quadratic twists by: -4 8 -3 5 |