Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304c |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
12336192 = 26 · 33 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-538,4984] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:84:1] [6:44:1] |
Generators of the group modulo torsion |
j |
269586136000/192753 |
j-invariant |
L |
8.6735284912638 |
L(r)(E,1)/r! |
Ω |
2.2322661092126 |
Real period |
R |
3.8855262172668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304x1 124608bj1 |
Quadratic twists by: -4 8 |