Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fp |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
301056000 = 214 · 3 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:56:1] |
Generators of the group modulo torsion |
j |
1102736/147 |
j-invariant |
L |
4.7149033566148 |
L(r)(E,1)/r! |
Ω |
1.6616166744672 |
Real period |
R |
0.70938493652973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dx2 8400cq2 100800pa2 33600hm2 |
Quadratic twists by: -4 8 -3 5 |