Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270h |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28132228880 = 24 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26077,-1614251] |
[a1,a2,a3,a4,a6] |
j |
1961015288853854241/28132228880 |
j-invariant |
L |
3.005569741764 |
L(r)(E,1)/r! |
Ω |
0.3756962177205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34160bd4 38430g4 21350g4 29890m4 |
Quadratic twists by: -4 -3 5 -7 |