Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122v |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
Δ |
-1.6537839539403E+30 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35747504988,2602190086818576] |
[a1,a2,a3,a4,a6] |
Generators |
[68408:21803876:1] |
Generators of the group modulo torsion |
j |
-2851706381404169233907849265625/933517927940580307894272 |
j-invariant |
L |
10.298444945584 |
L(r)(E,1)/r! |
Ω |
0.02609343650935 |
Real period |
R |
1.2897898224222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366h2 3102c2 |
Quadratic twists by: -3 -11 |