Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600a |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52272000000 = 210 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,29250] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:150:1] |
Generators of the group modulo torsion |
j |
1687500/121 |
j-invariant |
L |
6.2454448837814 |
L(r)(E,1)/r! |
Ω |
1.1004187682153 |
Real period |
R |
1.4188791267871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800a2 39600c2 1584a2 |
Quadratic twists by: -4 -3 5 |