Atkin-Lehner |
2+ 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440n |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1446480 = 24 · 32 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75,-270] |
[a1,a2,a3,a4,a6] |
j |
2955053056/90405 |
j-invariant |
L |
3.247101389369 |
L(r)(E,1)/r! |
Ω |
1.6235506946868 |
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 |
68880h1 103320bg1 |
Quadratic twists by: -4 -3 |