Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165j |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3900758715 = 36 · 5 · 7 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,-24204] |
[a1,a2,a3,a4,a6] |
j |
629202484009/5350835 |
j-invariant |
L |
1.5089330576408 |
L(r)(E,1)/r! |
Ω |
0.75446570285384 |
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 |
13685b2 |
Quadratic twists by: -3 |