Atkin-Lehner |
2+ 3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430r |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
67532167968750 = 2 · 38 · 510 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48834,4147038] |
[a1,a2,a3,a4,a6] |
Generators |
[-2034:3267:8] [177:-1101:1] |
Generators of the group modulo torsion |
j |
17667214539298849/92636718750 |
j-invariant |
L |
6.5644736146722 |
L(r)(E,1)/r! |
Ω |
0.62146577694702 |
Real period |
R |
1.056288834909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810r2 |
Quadratic twists by: -3 |