Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17760r |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-599400000000 = -1 · 29 · 34 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1480,42728] |
[a1,a2,a3,a4,a6] |
j |
-700700304968/1170703125 |
j-invariant |
L |
3.2826583272032 |
L(r)(E,1)/r! |
Ω |
0.8206645818008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17760v4 35520d3 53280bq2 88800bf2 |
Quadratic twists by: -4 8 -3 5 |