Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200m |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
980100000000 = 28 · 34 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,-7488] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:66:1] [-28:200:1] |
Generators of the group modulo torsion |
j |
436334416/245025 |
j-invariant |
L |
5.3266527503221 |
L(r)(E,1)/r! |
Ω |
0.72555357472679 |
Real period |
R |
3.6707508141816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6600l2 52800go2 39600v2 2640n2 |
Quadratic twists by: -4 8 -3 5 |