Atkin-Lehner |
2+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184h |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13035536304128 = -1 · 211 · 132 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5165,98802] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:78:1] [-1:306:1] |
Generators of the group modulo torsion |
j |
7440544824750/6365007961 |
j-invariant |
L |
9.7534445763398 |
L(r)(E,1)/r! |
Ω |
0.46017254237599 |
Real period |
R |
5.2987975586153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592c2 |
Quadratic twists by: -4 |