Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17760d |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
50338091520 = 29 · 312 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2216,-37944] |
[a1,a2,a3,a4,a6] |
j |
2351575819592/98316585 |
j-invariant |
L |
1.3952121738239 |
L(r)(E,1)/r! |
Ω |
0.69760608691197 |
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 |
17760m3 35520cx4 53280cb3 88800cc3 |
Quadratic twists by: -4 8 -3 5 |