Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446i |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.1694670170774E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1968570664,-33619012198400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20853936103501905444030013532427765288:9345189968620676546892650006325311464:813572650279349801595889147763919] |
Generators of the group modulo torsion |
j |
7171144918113246667863622777/5243960439168542784 |
j-invariant |
L |
4.145373067213 |
L(r)(E,1)/r! |
Ω |
0.022665318249866 |
Real period |
R |
45.723746536399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998029 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778j2 |
Quadratic twists by: -7 |