Atkin-Lehner |
2- 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002q |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2366419515695872 = -1 · 28 · 73 · 13 · 735 |
Discriminant |
Eigenvalues |
2- 2 2 7- -1 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81432,-9279271] |
[a1,a2,a3,a4,a6] |
j |
-174106597954570471/6899182261504 |
j-invariant |
L |
9.0228371442004 |
L(r)(E,1)/r! |
Ω |
0.14098183367381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93002o1 |
Quadratic twists by: -7 |