Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11532a |
Isogeny class |
Conductor |
11532 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63389062911744 = 28 · 32 · 317 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157924,-24100136] |
[a1,a2,a3,a4,a6] |
Generators |
[-59603904:-8186759:262144] |
Generators of the group modulo torsion |
j |
1917170512/279 |
j-invariant |
L |
3.8361094848937 |
L(r)(E,1)/r! |
Ω |
0.23949204039993 |
Real period |
R |
8.0088454682831 |
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 |
46128bb2 34596l2 372b2 |
Quadratic twists by: -4 -3 -31 |