Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650j |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-263466551920000000 = -1 · 210 · 57 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-416001,-106219852] |
[a1,a2,a3,a4,a6] |
j |
-287626699801/9518080 |
j-invariant |
L |
1.5009674822361 |
L(r)(E,1)/r! |
Ω |
0.093810469595681 |
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 |
15730bd1 7150s1 |
Quadratic twists by: 5 -11 |