Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91960i |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1481024996000000 = 28 · 56 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139916,20012320] |
[a1,a2,a3,a4,a6] |
Generators |
[1352:48000:1] |
Generators of the group modulo torsion |
j |
667932971344/3265625 |
j-invariant |
L |
3.9273196810531 |
L(r)(E,1)/r! |
Ω |
0.48042286626582 |
Real period |
R |
4.0873571659047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360k2 |
Quadratic twists by: -11 |