Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bc |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2878571250 = 2 · 33 · 54 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-713,7031] |
[a1,a2,a3,a4,a6] |
Generators |
[158:71:8] |
Generators of the group modulo torsion |
j |
1482713947827/106613750 |
j-invariant |
L |
12.131857786965 |
L(r)(E,1)/r! |
Ω |
1.4010503257622 |
Real period |
R |
4.3295581837618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570f2 |
Quadratic twists by: -3 |