Atkin-Lehner |
2- 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bf |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-1.2706885650387E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11+ 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-486855,-557764353] |
[a1,a2,a3,a4,a6] |
j |
-816773715885753081/8132406816248000 |
j-invariant |
L |
1.8878537247068 |
L(r)(E,1)/r! |
Ω |
0.078660592457314 |
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 |
24310o1 |
Quadratic twists by: 5 |