Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235r |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87936485488180875 = 36 · 53 · 7 · 1310 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7103355,7288671950] |
[a1,a2,a3,a4,a6] |
Generators |
[3253064:-241018567:512] |
Generators of the group modulo torsion |
j |
11264882429818809/24990875 |
j-invariant |
L |
6.8571584195418 |
L(r)(E,1)/r! |
Ω |
0.29328081526981 |
Real period |
R |
11.690431256552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5915k3 4095j3 |
Quadratic twists by: -3 13 |