Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712f |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23181643487232 = 211 · 312 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24195,1429918] |
[a1,a2,a3,a4,a6] |
Generators |
[22148:375921:64] |
Generators of the group modulo torsion |
j |
1049163349250/15526971 |
j-invariant |
L |
7.944363172838 |
L(r)(E,1)/r! |
Ω |
0.67746080836358 |
Real period |
R |
5.8633378305801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904e2 |
Quadratic twists by: -3 |