Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350cj |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
616229707500 = 22 · 33 · 54 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68888,-6964908] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:82:1] |
Generators of the group modulo torsion |
j |
57846197692740625/985967532 |
j-invariant |
L |
10.371710588941 |
L(r)(E,1)/r! |
Ω |
0.29468909968191 |
Real period |
R |
1.9553018569469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050ce2 31350b2 |
Quadratic twists by: -3 5 |