Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760h |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-164015957376000 = -1 · 210 · 33 · 53 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54987,5001034] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2490:1] |
Generators of the group modulo torsion |
j |
-665028211531212/5932290125 |
j-invariant |
L |
6.986679645869 |
L(r)(E,1)/r! |
Ω |
0.57695793731365 |
Real period |
R |
0.50456304190915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880c1 59760b1 |
Quadratic twists by: -4 -3 |