Atkin-Lehner |
3- 11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75933f |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1401094378827 = 39 · 112 · 132 · 592 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219146,39541142] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-63:1] [54:5251:1] |
Generators of the group modulo torsion |
j |
1596595754079513433/1921940163 |
j-invariant |
L |
5.6968106699574 |
L(r)(E,1)/r! |
Ω |
0.72125772762781 |
Real period |
R |
0.98730496252042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25311d2 |
Quadratic twists by: -3 |