Atkin-Lehner |
2+ 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470d |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18194435000 = 23 · 54 · 73 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-674,1980] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:97:1] |
Generators of the group modulo torsion |
j |
98803352367/53045000 |
j-invariant |
L |
4.2841525425567 |
L(r)(E,1)/r! |
Ω |
1.0719942306269 |
Real period |
R |
0.9991081155412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50470b2 |
Quadratic twists by: -7 |