Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342y |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-82940942898 = -1 · 2 · 34 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,905,-8689] |
[a1,a2,a3,a4,a6] |
j |
46268279/46818 |
j-invariant |
L |
2.3492046142784 |
L(r)(E,1)/r! |
Ω |
0.58730115356961 |
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 |
98736dp2 37026p2 102a2 |
Quadratic twists by: -4 -3 -11 |