Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cg |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-85675363200 = -1 · 27 · 33 · 52 · 75 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2723,-56703] |
[a1,a2,a3,a4,a6] |
j |
-89317507606105/3427014528 |
j-invariant |
L |
6.923883334618 |
L(r)(E,1)/r! |
Ω |
0.32970873019852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950n1 |
Quadratic twists by: 5 |