Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552u |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-135862272 = -1 · 211 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,614] |
[a1,a2,a3,a4,a6] |
j |
-31250/91 |
j-invariant |
L |
1.623642914432 |
L(r)(E,1)/r! |
Ω |
1.623642914432 |
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 |
13104l1 52416ct1 728a1 45864bp1 |
Quadratic twists by: -4 8 -3 -7 |