Atkin-Lehner |
2+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470b |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2140557083315000 = 23 · 54 · 79 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33035,-613075] |
[a1,a2,a3,a4,a6] |
Generators |
[5295:14890:27] |
Generators of the group modulo torsion |
j |
98803352367/53045000 |
j-invariant |
L |
4.6921714990174 |
L(r)(E,1)/r! |
Ω |
0.37684239506959 |
Real period |
R |
6.2256417542806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50470d2 |
Quadratic twists by: -7 |