Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086j |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1009606155799104 = 26 · 34 · 417 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111822,14301760] |
[a1,a2,a3,a4,a6] |
j |
32553430057/212544 |
j-invariant |
L |
1.9843511780039 |
L(r)(E,1)/r! |
Ω |
0.49608779450097 |
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 |
80688n1 30258r1 246d1 |
Quadratic twists by: -4 -3 41 |