Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ff |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3175524000000000000 = 214 · 38 · 512 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-402033,-47574063] |
[a1,a2,a3,a4,a6] |
Generators |
[-523:4400:1] |
Generators of the group modulo torsion |
j |
28071778927696/12404390625 |
j-invariant |
L |
2.840785798477 |
L(r)(E,1)/r! |
Ω |
0.19749463998106 |
Real period |
R |
3.5960289843166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800cl2 13200t2 10560cg2 |
Quadratic twists by: -4 8 5 |