Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ee |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.4774404297457E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10258380,3160731024] |
[a1,a2,a3,a4,a6] |
Generators |
[32829258:986283584:9261] |
Generators of the group modulo torsion |
j |
13060888875/7086244 |
j-invariant |
L |
7.4811224011582 |
L(r)(E,1)/r! |
Ω |
0.096203189739877 |
Real period |
R |
9.7204708353163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696k4 17424bc4 69696ef2 6336bi4 |
Quadratic twists by: -4 8 -3 -11 |