Atkin-Lehner |
2- 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554s |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59419460304 = 24 · 38 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50209,4309391] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:1210:1] [121:94:1] |
Generators of the group modulo torsion |
j |
469876674491407/1994544 |
j-invariant |
L |
13.426114321993 |
L(r)(E,1)/r! |
Ω |
0.9785352440019 |
Real period |
R |
3.4301560431086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109554w2 |
Quadratic twists by: -31 |