Atkin-Lehner |
5+ 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20405a |
Isogeny class |
Conductor |
20405 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20000 |
Modular degree for the optimal curve |
Δ |
-717297801605 = -1 · 5 · 75 · 115 · 53 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 11+ -4 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,924,39365] |
[a1,a2,a3,a4,a6] |
j |
87238913775551/717297801605 |
j-invariant |
L |
0.65973349454684 |
L(r)(E,1)/r! |
Ω |
0.65973349454683 |
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 |
102025c1 |
Quadratic twists by: 5 |