Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bp |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-32413500000 = -1 · 25 · 33 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,587,-6469] |
[a1,a2,a3,a4,a6] |
j |
596183/864 |
j-invariant |
L |
3.0993819459175 |
L(r)(E,1)/r! |
Ω |
0.6198763891835 |
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 |
58800hw1 22050y1 294d1 7350co1 |
Quadratic twists by: -4 -3 5 -7 |