Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gl |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
190434700836864 = 214 · 38 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18876,-745360] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:484:1] [-46:160:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
9.5908735714278 |
L(r)(E,1)/r! |
Ω |
0.41500304918564 |
Real period |
R |
5.7775922310936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696cp2 17424t2 23232cz2 576i2 |
Quadratic twists by: -4 8 -3 -11 |