Atkin-Lehner |
2+ 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bd |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
46050081735600 = 24 · 38 · 52 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11889,-374355] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:347:1] |
Generators of the group modulo torsion |
j |
254948647526929/63168836400 |
j-invariant |
L |
3.9911763271757 |
L(r)(E,1)/r! |
Ω |
0.4654968045018 |
Real period |
R |
0.53587590298551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670w2 |
Quadratic twists by: -3 |