Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850o |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1434606747187500000 = 25 · 32 · 510 · 173 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6451575,-6309772875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1469:1228:1] |
Generators of the group modulo torsion |
j |
3041032243934241025/146903730912 |
j-invariant |
L |
5.1112503017331 |
L(r)(E,1)/r! |
Ω |
0.094729308513531 |
Real period |
R |
2.9975764967885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cr2 |
Quadratic twists by: 5 |