Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235r |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.8175215393311E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243075,422826236] |
[a1,a2,a3,a4,a6] |
Generators |
[-424210:-15383987:1000] |
Generators of the group modulo torsion |
j |
451394172711/22216796875 |
j-invariant |
L |
6.8571584195418 |
L(r)(E,1)/r! |
Ω |
0.1466404076349 |
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 |
5915k4 4095j4 |
Quadratic twists by: -3 13 |