Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fw |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-909193450176 = -1 · 26 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34065372,76527551342] |
[a1,a2,a3,a4,a6] |
j |
-52893159101157376/11 |
j-invariant |
L |
1.4365433019603 |
L(r)(E,1)/r! |
Ω |
0.35913582488877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696bp3 17424bv3 7744y3 6336bx3 |
Quadratic twists by: -4 8 -3 -11 |