Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bc |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2092178109780000000 = 28 · 310 · 57 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-386175,60736750] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:12100:1] |
Generators of the group modulo torsion |
j |
2184181167184/717482205 |
j-invariant |
L |
5.1512439633028 |
L(r)(E,1)/r! |
Ω |
0.24083582247753 |
Real period |
R |
0.89120946763448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800e2 13200s2 7920q2 |
Quadratic twists by: -4 -3 5 |