Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9620a |
Isogeny class |
Conductor |
9620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
38480 = 24 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-801,8464] |
[a1,a2,a3,a4,a6] |
Generators |
[0:92:1] [7:57:1] |
Generators of the group modulo torsion |
j |
3556668227584/2405 |
j-invariant |
L |
4.1834470873352 |
L(r)(E,1)/r! |
Ω |
3.0154214432154 |
Real period |
R |
1.8498009498249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38480l1 86580h1 48100e1 125060i1 |
Quadratic twists by: -4 -3 5 13 |