Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33712h |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-1559276551168 = -1 · 210 · 77 · 432 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,-170108] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2254:1] |
Generators of the group modulo torsion |
j |
-153091012/12943 |
j-invariant |
L |
3.077119479489 |
L(r)(E,1)/r! |
Ω |
0.27580337694021 |
Real period |
R |
2.7892329615641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16856d1 4816c1 |
Quadratic twists by: -4 -7 |