Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165n |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
1.5919372285355E+26 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139779302,-189951981096] |
[a1,a2,a3,a4,a6] |
Generators |
[-84354:2713623:8] [13922:742896:1] |
Generators of the group modulo torsion |
j |
414309396590476976410293529/218372733681135857578125 |
j-invariant |
L |
7.093992922303 |
L(r)(E,1)/r! |
Ω |
0.046578545571383 |
Real period |
R |
1.0878694770878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055d2 |
Quadratic twists by: -3 |