Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36080f |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
126010987520 = 210 · 5 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1760,23312] |
[a1,a2,a3,a4,a6] |
Generators |
[52:264:1] |
Generators of the group modulo torsion |
j |
589126412164/123057605 |
j-invariant |
L |
9.7390517597981 |
L(r)(E,1)/r! |
Ω |
0.98706073754051 |
Real period |
R |
1.2333399796736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18040d2 |
Quadratic twists by: -4 |