Atkin-Lehner |
2+ 3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710m |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-8494203997773000 = -1 · 23 · 32 · 53 · 139 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25181,-4156858] |
[a1,a2,a3,a4,a6] |
j |
1765905354479529431/8494203997773000 |
j-invariant |
L |
3.7466572647722 |
L(r)(E,1)/r! |
Ω |
0.20814762582025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130ca2 |
Quadratic twists by: -3 |