Atkin-Lehner |
2- 3+ 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306m |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-713114766 = -1 · 2 · 34 · 7 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74,-1339] |
[a1,a2,a3,a4,a6] |
Generators |
[390:2501:8] |
Generators of the group modulo torsion |
j |
-44852393377/713114766 |
j-invariant |
L |
5.962195451984 |
L(r)(E,1)/r! |
Ω |
0.68924537350038 |
Real period |
R |
4.3251617502374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918e2 |
Quadratic twists by: -3 |