Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fq |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
163061514000000000 = 210 · 32 · 59 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-206438,30411492] |
[a1,a2,a3,a4,a6] |
j |
529278808969/88704000 |
j-invariant |
L |
6.1675081496775 |
L(r)(E,1)/r! |
Ω |
0.30837540564199 |
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 |
16170k1 11550bp1 |
Quadratic twists by: 5 -7 |