Atkin-Lehner |
3+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263m |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
4656960 |
Modular degree for the optimal curve |
Δ |
-3.4106676479565E+21 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 0 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1429799,2885248532] |
[a1,a2,a3,a4,a6] |
Generators |
[-1160:55211:1] [-859:59425:1] |
Generators of the group modulo torsion |
j |
-1508020400816017/15911016292143 |
j-invariant |
L |
5.6097601612301 |
L(r)(E,1)/r! |
Ω |
0.12010328746002 |
Real period |
R |
0.74139362856699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263e1 |
Quadratic twists by: -11 |