Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720u |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-13860851312689920 = -1 · 28 · 319 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55452,7572724] |
[a1,a2,a3,a4,a6] |
j |
-101043379262464/74271536955 |
j-invariant |
L |
2.9194743543358 |
L(r)(E,1)/r! |
Ω |
0.36493429429201 |
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 |
55440bh1 9240bf1 |
Quadratic twists by: -4 -3 |