Atkin-Lehner |
2- 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328i |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8140607488 = 212 · 13 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-979,10962] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:138:1] |
Generators of the group modulo torsion |
j |
25334470953/1987453 |
j-invariant |
L |
6.9571362047292 |
L(r)(E,1)/r! |
Ω |
1.2820801406677 |
Real period |
R |
1.35661102284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5083a2 |
Quadratic twists by: -4 |