Atkin-Lehner |
2+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68080a |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1325326976000 = 210 · 53 · 234 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98843,11960858] |
[a1,a2,a3,a4,a6] |
Generators |
[-347:2116:1] |
Generators of the group modulo torsion |
j |
104294524955375556/1294264625 |
j-invariant |
L |
3.2788274944588 |
L(r)(E,1)/r! |
Ω |
0.78013346106177 |
Real period |
R |
2.1014529295759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34040a4 |
Quadratic twists by: -4 |