Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ef |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.0786863517472E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71416620,-232298492976] |
[a1,a2,a3,a4,a6] |
Generators |
[256877641020:19069877445256:20346417] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
6.9379994222479 |
L(r)(E,1)/r! |
Ω |
0.051933761294718 |
Real period |
R |
16.699154965113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696l4 17424bd4 69696ee2 6336bp4 |
Quadratic twists by: -4 8 -3 -11 |