Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600m |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1244678400000000 = 214 · 34 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74033,7589937] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:3600:1] |
Generators of the group modulo torsion |
j |
175293437776/4862025 |
j-invariant |
L |
3.7279160320548 |
L(r)(E,1)/r! |
Ω |
0.48319002982826 |
Real period |
R |
1.9288043015808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600gu2 4200k2 100800ea2 6720w2 |
Quadratic twists by: -4 8 -3 5 |