Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ff |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2371842000000000 = 210 · 34 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341533,-76674563] |
[a1,a2,a3,a4,a6] |
Generators |
[-332:99:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
2.840785798477 |
L(r)(E,1)/r! |
Ω |
0.19749463998106 |
Real period |
R |
1.7980144921583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cl1 13200t1 10560cg1 |
Quadratic twists by: -4 8 5 |