Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104c |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27661625651091456 = 211 · 33 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83259,-4633910] |
[a1,a2,a3,a4,a6] |
Generators |
[-31755:43732:125] |
Generators of the group modulo torsion |
j |
1940598/841 |
j-invariant |
L |
10.410078885859 |
L(r)(E,1)/r! |
Ω |
0.29236411429875 |
Real period |
R |
4.4508193491425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60552n2 121104d2 4176d2 |
Quadratic twists by: -4 -3 29 |