Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600es |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19046845440000000 = -1 · 216 · 312 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,50367,-5032863] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2448:1] [187:3300:1] |
Generators of the group modulo torsion |
j |
13799183324/18600435 |
j-invariant |
L |
6.9668945447135 |
L(r)(E,1)/r! |
Ω |
0.2057977574905 |
Real period |
R |
16.926556026823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600db3 8400v4 100800mb3 6720cn4 |
Quadratic twists by: -4 8 -3 5 |