Atkin-Lehner |
2+ 5+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20590a |
Isogeny class |
Conductor |
20590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
2985550 = 2 · 52 · 292 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 4 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,36] |
[a1,a2,a3,a4,a6] |
Generators |
[18:63:1] |
Generators of the group modulo torsion |
j |
6321363049/2985550 |
j-invariant |
L |
4.6990636479592 |
L(r)(E,1)/r! |
Ω |
2.2626256200558 |
Real period |
R |
0.51920472462468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102950d1 |
Quadratic twists by: 5 |