Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800c |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1115136000000 = 216 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,50337] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:300:1] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
4.3951401162719 |
L(r)(E,1)/r! |
Ω |
0.80764204087095 |
Real period |
R |
1.3604851821408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800gr2 6600bb2 2112m2 |
Quadratic twists by: -4 8 5 |