Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700j |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-14646100000000 = -1 · 28 · 58 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6092,18312] |
[a1,a2,a3,a4,a6] |
j |
6249886256/3661525 |
j-invariant |
L |
5.1060344097468 |
L(r)(E,1)/r! |
Ω |
0.42550286748317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540c2 |
Quadratic twists by: 5 |