Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322h |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.0863026343457E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7535376,-7888034438] |
[a1,a2,a3,a4,a6] |
Generators |
[-1585:9411:1] [-1468:4029:1] |
Generators of the group modulo torsion |
j |
9803435555023890625/105376090795092 |
j-invariant |
L |
6.4000361289386 |
L(r)(E,1)/r! |
Ω |
0.091181208987569 |
Real period |
R |
4.386893555154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966bd4 1794i4 |
Quadratic twists by: -3 13 |