Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600h |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-10300000000 = -1 · 28 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 2 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-4588] |
[a1,a2,a3,a4,a6] |
j |
27440/103 |
j-invariant |
L |
1.3064171963788 |
L(r)(E,1)/r! |
Ω |
0.65320859818941 |
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 |
41200w1 20600s1 |
Quadratic twists by: -4 5 |