Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ec |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-69127796403781632 = -1 · 214 · 39 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,12649824] |
[a1,a2,a3,a4,a6] |
Generators |
[10103865:458536059:4913] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.4579867748581 |
L(r)(E,1)/r! |
Ω |
0.27557824362535 |
Real period |
R |
11.717156422189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696f2 17424ba2 69696ec1 69696ed2 |
Quadratic twists by: -4 8 -3 -11 |