Atkin-Lehner |
7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5621b |
Isogeny class |
Conductor |
5621 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1.0677016063055E+19 |
Discriminant |
Eigenvalues |
0 1 -1 7+ 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,500269,-78363038] |
[a1,a2,a3,a4,a6] |
j |
13846296264235444699136/10677016063054858979 |
j-invariant |
L |
1.0168538479169 |
L(r)(E,1)/r! |
Ω |
0.12710673098961 |
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 |
89936bb1 50589k1 39347c1 61831e1 |
Quadratic twists by: -4 -3 -7 -11 |