Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cn |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
293003497975594770 = 2 · 34 · 5 · 78 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193255,-19854853] |
[a1,a2,a3,a4,a6] |
Generators |
[2837820:109163083:1728] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
8.0883334824764 |
L(r)(E,1)/r! |
Ω |
0.23471785195852 |
Real period |
R |
8.6149534590003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470bi3 2730f3 |
Quadratic twists by: -3 13 |