Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280g |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1488871711969200 = -1 · 24 · 33 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28505,114100] |
[a1,a2,a3,a4,a6] |
j |
33165879296/19278675 |
j-invariant |
L |
1.1512119301636 |
L(r)(E,1)/r! |
Ω |
0.28780298254091 |
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 |
40560y1 60840bj1 101400cu1 1560i1 |
Quadratic twists by: -4 -3 5 13 |