Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350bk |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3873946272000 = 28 · 3 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3946,-11812] |
[a1,a2,a3,a4,a6] |
j |
461889917/263424 |
j-invariant |
L |
2.6071457395269 |
L(r)(E,1)/r! |
Ω |
0.65178643488172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800he1 22050fo1 7350cd1 1050e1 |
Quadratic twists by: -4 -3 5 -7 |