Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bg |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-142565391005625000 = -1 · 23 · 36 · 57 · 74 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34917,18347741] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:4288:1] [-1:4288:1] |
Generators of the group modulo torsion |
j |
-413327139849/12516028840 |
j-invariant |
L |
7.0720036037618 |
L(r)(E,1)/r! |
Ω |
0.27279962318007 |
Real period |
R |
6.4809506711507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650r4 11970cf4 |
Quadratic twists by: -3 5 |