Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664d |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-11370125312 = -1 · 211 · 7 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 1 4 7- -3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,-6508] |
[a1,a2,a3,a4,a6] |
j |
-5131452818/5551819 |
j-invariant |
L |
3.9626782976774 |
L(r)(E,1)/r! |
Ω |
0.49533478720978 |
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 |
13832a1 110656br1 |
Quadratic twists by: -4 8 |