Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282bg |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-99379519488 = -1 · 213 · 38 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 1 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11957,506445] |
[a1,a2,a3,a4,a6] |
Generators |
[47:192:1] [-97:912:1] |
Generators of the group modulo torsion |
j |
-140246460241/73728 |
j-invariant |
L |
9.2690034359052 |
L(r)(E,1)/r! |
Ω |
1.0506042026053 |
Real period |
R |
0.16966433756223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094g1 33282j1 |
Quadratic twists by: -3 -43 |