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 |
972504225000000 = 26 · 38 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-693005,222218997] |
[a1,a2,a3,a4,a6] |
Generators |
[539:-2520:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
9.3445240772642 |
L(r)(E,1)/r! |
Ω |
0.45952428340216 |
Real period |
R |
0.84730053220117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550f2 6930f2 |
Quadratic twists by: -3 5 |