Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bo |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1940420865664512 = 29 · 34 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31984,-607048] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:726:1] [-37:726:1] |
Generators of the group modulo torsion |
j |
3989418056/2139291 |
j-invariant |
L |
11.609576579149 |
L(r)(E,1)/r! |
Ω |
0.37981881096103 |
Real period |
R |
1.9103807269893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312n3 7392f3 |
Quadratic twists by: -4 -11 |