Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dq |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-6006226614609375000 = -1 · 23 · 37 · 510 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-666005,240308997] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:-17280:1] |
Generators of the group modulo torsion |
j |
-2868190647517441/527295615000 |
j-invariant |
L |
9.3445240772642 |
L(r)(E,1)/r! |
Ω |
0.22976214170108 |
Real period |
R |
0.42365026610059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550f4 6930f4 |
Quadratic twists by: -3 5 |