Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33768h |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
787887999101952 = 210 · 314 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24771,-654194] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:756:1] |
Generators of the group modulo torsion |
j |
2251784602372/1055448387 |
j-invariant |
L |
5.121128032904 |
L(r)(E,1)/r! |
Ω |
0.39825820810058 |
Real period |
R |
1.6073516906684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536q4 11256e3 |
Quadratic twists by: -4 -3 |