Atkin-Lehner |
2+ 3+ 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306c |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1479052848 = 24 · 3 · 72 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12560,-547056] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:33:1] |
Generators of the group modulo torsion |
j |
219152614760367625/1479052848 |
j-invariant |
L |
3.5193230921119 |
L(r)(E,1)/r! |
Ω |
0.45097017273265 |
Real period |
R |
1.9509733153676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918bb2 |
Quadratic twists by: -3 |