Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150l |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-57993355946093750 = -1 · 2 · 58 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27375,11465875] |
[a1,a2,a3,a4,a6] |
j |
30080231/768950 |
j-invariant |
L |
1.0573501109494 |
L(r)(E,1)/r! |
Ω |
0.26433752837483 |
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 |
11830w1 4550o1 |
Quadratic twists by: 5 13 |