Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8540c |
Isogeny class |
Conductor |
8540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-937350400 = -1 · 28 · 52 · 74 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,244,244] |
[a1,a2,a3,a4,a6] |
Generators |
[19:110:1] |
Generators of the group modulo torsion |
j |
6249886256/3661525 |
j-invariant |
L |
2.4577100475056 |
L(r)(E,1)/r! |
Ω |
0.95145333631344 |
Real period |
R |
2.5831114923916 |
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 |
34160w2 76860j2 42700j2 59780k2 |
Quadratic twists by: -4 -3 5 -7 |