Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472j |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.3176557820304E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-267233,182650209] |
[a1,a2,a3,a4,a6] |
Generators |
[-600:11253:1] |
Generators of the group modulo torsion |
j |
-16102216903531250/100529158174929 |
j-invariant |
L |
4.8279899340966 |
L(r)(E,1)/r! |
Ω |
0.19317425754476 |
Real period |
R |
2.0827438377422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cd2 8184h2 |
Quadratic twists by: -4 8 |