Atkin-Lehner |
3- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135i |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
141548552281125 = 37 · 53 · 113 · 733 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14232,-315288] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:328:1] |
Generators of the group modulo torsion |
j |
437314612363264/194168110125 |
j-invariant |
L |
3.7874413598622 |
L(r)(E,1)/r! |
Ω |
0.45546473691176 |
Real period |
R |
0.69296278667322 |
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 |
12045c2 |
Quadratic twists by: -3 |