Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33768i |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63806932224 = 28 · 312 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22431,1293010] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:972:1] |
Generators of the group modulo torsion |
j |
6688090245328/341901 |
j-invariant |
L |
4.3167444879566 |
L(r)(E,1)/r! |
Ω |
1.0424004562466 |
Real period |
R |
2.0705787598653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536r2 11256f2 |
Quadratic twists by: -4 -3 |