Atkin-Lehner |
2+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16280d |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
385510400 = 210 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,1820] |
[a1,a2,a3,a4,a6] |
Generators |
[58:420:1] |
Generators of the group modulo torsion |
j |
2810381476/376475 |
j-invariant |
L |
7.3534991193504 |
L(r)(E,1)/r! |
Ω |
1.6274560181002 |
Real period |
R |
2.2592005675012 |
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 |
32560c2 81400o2 |
Quadratic twists by: -4 5 |