Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800eq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
141134400000000 = 212 · 36 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20633,994137] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1000:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
4.4555631009565 |
L(r)(E,1)/r! |
Ω |
0.55800933358151 |
Real period |
R |
1.9961866373998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800fw2 26400bs1 10560ck2 |
Quadratic twists by: -4 8 5 |