Atkin-Lehner |
3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685n |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-80491263532875 = -1 · 37 · 53 · 136 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-130872,18228042] |
[a1,a2,a3,a4,a6] |
Generators |
[62:3217:1] |
Generators of the group modulo torsion |
j |
-340045006744059904/110413255875 |
j-invariant |
L |
4.2818999853027 |
L(r)(E,1)/r! |
Ω |
0.59685326936152 |
Real period |
R |
0.89676563007733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11895j2 |
Quadratic twists by: -3 |