Atkin-Lehner |
2- 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20470i |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-120527360 = -1 · 29 · 5 · 232 · 89 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -3 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7773,265701] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-120:1] [-39:732:1] |
Generators of the group modulo torsion |
j |
-51932273307303969/120527360 |
j-invariant |
L |
6.1836459791639 |
L(r)(E,1)/r! |
Ω |
1.6088749305925 |
Real period |
R |
0.21352553961723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350c1 |
Quadratic twists by: 5 |