Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600m |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-265642030080000000 = -1 · 216 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15967,24779937] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:4100:1] |
Generators of the group modulo torsion |
j |
439608956/259416045 |
j-invariant |
L |
3.7279160320548 |
L(r)(E,1)/r! |
Ω |
0.24159501491413 |
Real period |
R |
3.8576086031616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gu3 4200k4 100800ea3 6720w4 |
Quadratic twists by: -4 8 -3 5 |