Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650dd |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-3.1298748625232E+25 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73441013,362117882017] |
[a1,a2,a3,a4,a6] |
j |
-12660578151267509/9045671752832 |
j-invariant |
L |
1.6994380420692 |
L(r)(E,1)/r! |
Ω |
0.060694217806168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78650bl2 7150n2 |
Quadratic twists by: 5 -11 |