Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cm |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
76857383790 = 2 · 36 · 5 · 113 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-638897,-196399789] |
[a1,a2,a3,a4,a6] |
Generators |
[2713482954:-77044317029:2000376] |
Generators of the group modulo torsion |
j |
39562897706857339849/105428510 |
j-invariant |
L |
11.603045276662 |
L(r)(E,1)/r! |
Ω |
0.16886587536164 |
Real period |
R |
17.177901168686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000019849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790c2 |
Quadratic twists by: -3 |