Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bv |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3513916952000000 = -1 · 29 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29487,-2069969] |
[a1,a2,a3,a4,a6] |
Generators |
[395:8252:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
8.2156077522288 |
L(r)(E,1)/r! |
Ω |
0.23819712139126 |
Real period |
R |
0.95807760025275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366a1 4550b1 |
Quadratic twists by: 5 13 |