Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3164274771840000000 = 213 · 38 · 57 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16076182008,784547998715988] |
[a1,a2,a3,a4,a6] |
j |
7179471593960193209684686321/49441793310 |
j-invariant |
L |
4.0476104742243 |
L(r)(E,1)/r! |
Ω |
0.084325223352541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650a7 21840bk8 |
Quadratic twists by: -4 5 |