Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912r |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10477599132672 = -1 · 210 · 39 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3021,-142018] |
[a1,a2,a3,a4,a6] |
j |
4084589372/14035707 |
j-invariant |
L |
2.943880826647 |
L(r)(E,1)/r! |
Ω |
0.36798510344193 |
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 |
103824l2 17304c2 |
Quadratic twists by: -4 -3 |