Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ha |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-270030454702272 = -1 · 26 · 39 · 118 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 11- 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,-146410] |
[a1,a2,a3,a4,a6] |
j |
45056/27 |
j-invariant |
L |
3.8514482049617 |
L(r)(E,1)/r! |
Ω |
0.32095401843771 |
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 |
69696dm1 17424cj1 23232dg1 69696gz1 |
Quadratic twists by: -4 8 -3 -11 |