Atkin-Lehner |
2- 5- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20470j |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5088 |
Modular degree for the optimal curve |
Δ |
-409400 = -1 · 23 · 52 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3 5- 1 5 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18,-11] |
[a1,a2,a3,a4,a6] |
j |
679151439/409400 |
j-invariant |
L |
10.439438801977 |
L(r)(E,1)/r! |
Ω |
1.7399064669962 |
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 |
102350i1 |
Quadratic twists by: 5 |