Atkin-Lehner |
3- 5- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bd |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1775288465094375 = 39 · 54 · 7 · 11 · 374 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106209,13194090] |
[a1,a2,a3,a4,a6] |
Generators |
[214:374:1] |
Generators of the group modulo torsion |
j |
181753357941016849/2435237949375 |
j-invariant |
L |
8.7674626104076 |
L(r)(E,1)/r! |
Ω |
0.47222480421514 |
Real period |
R |
2.3207862386727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735g4 |
Quadratic twists by: -3 |