Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280d |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114345347479234560 = 211 · 34 · 5 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121736,1648620] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2322:1] |
Generators of the group modulo torsion |
j |
20183398562/11567205 |
j-invariant |
L |
2.7392879468297 |
L(r)(E,1)/r! |
Ω |
0.28459310937861 |
Real period |
R |
4.8126392673574 |
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 |
40560t3 60840ca3 101400di3 1560k3 |
Quadratic twists by: -4 -3 5 13 |