Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600k |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6350400000000 = 212 · 34 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5033,-63063] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:252:1] |
Generators of the group modulo torsion |
j |
220348864/99225 |
j-invariant |
L |
3.8010310893438 |
L(r)(E,1)/r! |
Ω |
0.59124053742816 |
Real period |
R |
1.6072270289001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cz2 16800p1 100800dz2 6720v2 |
Quadratic twists by: -4 8 -3 5 |