Atkin-Lehner |
2- 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110s |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29428410000 = 24 · 3 · 54 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17215,-870775] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1717:1] |
Generators of the group modulo torsion |
j |
564217263156674161/29428410000 |
j-invariant |
L |
8.9609157199674 |
L(r)(E,1)/r! |
Ω |
0.41679646383204 |
Real period |
R |
2.6874375437295 |
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 |
66330n4 110550d4 |
Quadratic twists by: -3 5 |