Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040b |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6894438400 = 211 · 52 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18163,942162] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:660:1] [-11:1068:1] |
Generators of the group modulo torsion |
j |
323561253064338/3366425 |
j-invariant |
L |
10.354730134834 |
L(r)(E,1)/r! |
Ω |
1.2030762118096 |
Real period |
R |
2.1517194895186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520a2 |
Quadratic twists by: -4 |