Atkin-Lehner |
3- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395w |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5937865699495640625 = 312 · 56 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-661734,-170666537] |
[a1,a2,a3,a4,a6] |
Generators |
[2642:127199:1] |
Generators of the group modulo torsion |
j |
43958908564647025249/8145220438265625 |
j-invariant |
L |
8.5060644926132 |
L(r)(E,1)/r! |
Ω |
0.16953147622558 |
Real period |
R |
4.1811628249064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36465f2 |
Quadratic twists by: -3 |