Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696fh |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-62099136 = -1 · 26 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[11:11:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
4.1327315791204 |
L(r)(E,1)/r! |
Ω |
1.9605802947937 |
Real period |
R |
1.0539562165252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696bf1 17424bl1 7744s1 69696fh2 |
Quadratic twists by: -4 8 -3 -11 |