Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825o |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-52171875 = -1 · 32 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,344] |
[a1,a2,a3,a4,a6] |
j |
-262144/3339 |
j-invariant |
L |
3.3894995307887 |
L(r)(E,1)/r! |
Ω |
1.6947497653947 |
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 |
83475y1 1113a1 |
Quadratic twists by: -3 5 |