Atkin-Lehner |
2- 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954z |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5045818721328 = 24 · 38 · 72 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4288,-1072] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:260:1] |
Generators of the group modulo torsion |
j |
8719556020890625/5045818721328 |
j-invariant |
L |
10.036742722421 |
L(r)(E,1)/r! |
Ω |
0.64748591691619 |
Real period |
R |
0.24220465795571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862k2 |
Quadratic twists by: -3 |