Atkin-Lehner |
2- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842u |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-5.3798026578779E+20 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,913608,1064500669] |
[a1,a2,a3,a4,a6] |
j |
47604417228580967/303675834920612 |
j-invariant |
L |
1.9077033345892 |
L(r)(E,1)/r! |
Ω |
0.11923145900875 |
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 |
6622c1 |
Quadratic twists by: -11 |