Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880t |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
24354432000 = 210 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10947,440786] |
[a1,a2,a3,a4,a6] |
Generators |
[67:90:1] |
Generators of the group modulo torsion |
j |
194348673796/32625 |
j-invariant |
L |
6.2220469853128 |
L(r)(E,1)/r! |
Ω |
1.1588408166755 |
Real period |
R |
0.44743325224792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10440x1 83520ff1 6960f1 104400s1 |
Quadratic twists by: -4 8 -3 5 |