Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bm |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-742327031250 = -1 · 2 · 36 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-42134] |
[a1,a2,a3,a4,a6] |
Generators |
[59:308:1] |
Generators of the group modulo torsion |
j |
-4826809/65170 |
j-invariant |
L |
4.0542280099934 |
L(r)(E,1)/r! |
Ω |
0.38481516389511 |
Real period |
R |
1.3169400501805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650w1 11970ci1 |
Quadratic twists by: -3 5 |