Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272bm |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
365636726784 = 212 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3036,57440] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:196:1] |
Generators of the group modulo torsion |
j |
1036433728/122451 |
j-invariant |
L |
4.9988646217016 |
L(r)(E,1)/r! |
Ω |
0.92303732124088 |
Real period |
R |
1.3539172541207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34272n3 68544cl1 11424c2 |
Quadratic twists by: -4 8 -3 |