Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216ba |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40104751104 = 212 · 37 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,143840] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:495:1] |
Generators of the group modulo torsion |
j |
5195695168/13431 |
j-invariant |
L |
5.4878921992887 |
L(r)(E,1)/r! |
Ω |
1.1514386613716 |
Real period |
R |
2.3830588439716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216q2 39072b2 |
Quadratic twists by: -4 -3 |