Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280d |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
187944358118400 = 210 · 32 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87936,10044540] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3042:1] |
Generators of the group modulo torsion |
j |
15214885924/38025 |
j-invariant |
L |
2.7392879468297 |
L(r)(E,1)/r! |
Ω |
0.56918621875722 |
Real period |
R |
2.4063196336787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560t2 60840ca2 101400di2 1560k2 |
Quadratic twists by: -4 -3 5 13 |