Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490a |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1736317025040561600 = 26 · 3 · 52 · 78 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56251653,162363472653] |
[a1,a2,a3,a4,a6] |
Generators |
[4594:28123:1] |
Generators of the group modulo torsion |
j |
4078208988807294650401/359723582400 |
j-invariant |
L |
2.8204012391162 |
L(r)(E,1)/r! |
Ω |
0.20312438143485 |
Real period |
R |
1.7356368172011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fi4 2730x4 |
Quadratic twists by: -3 13 |