Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674s |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55190292192 = 25 · 38 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1645047,812522749] |
[a1,a2,a3,a4,a6] |
Generators |
[-3474:305827:8] [635:4547:1] |
Generators of the group modulo torsion |
j |
675353669427614976625/75706848 |
j-invariant |
L |
8.6864410507374 |
L(r)(E,1)/r! |
Ω |
0.63266504022951 |
Real period |
R |
6.864960523483 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558y2 |
Quadratic twists by: -3 |