Atkin-Lehner |
2- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17980a |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3596000000 = 28 · 56 · 29 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4836,-131036] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:2:1] [80:22:1] |
Generators of the group modulo torsion |
j |
48868884387664/14046875 |
j-invariant |
L |
4.8453137351486 |
L(r)(E,1)/r! |
Ω |
0.57250329367441 |
Real period |
R |
5.6422542760122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71920l2 89900b2 |
Quadratic twists by: -4 5 |