Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280l |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-2029799067678720 = -1 · 211 · 35 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27096,-2774160] |
[a1,a2,a3,a4,a6] |
j |
-1316978/1215 |
j-invariant |
L |
2.6885274366825 |
L(r)(E,1)/r! |
Ω |
0.1792351624455 |
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 |
40560c1 60840bu1 101400ce1 20280bd1 |
Quadratic twists by: -4 -3 5 13 |