Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ds |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1891173394687500000 = 25 · 310 · 510 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21786980,-39136555353] |
[a1,a2,a3,a4,a6] |
Generators |
[-2695:1581:1] |
Generators of the group modulo torsion |
j |
100407751863770656369/166028940000 |
j-invariant |
L |
9.4996017661189 |
L(r)(E,1)/r! |
Ω |
0.06987958878187 |
Real period |
R |
3.398560986017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550g3 6930n3 |
Quadratic twists by: -3 5 |