Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624l |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12000533833728 = 211 · 38 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211179,-37352518] |
[a1,a2,a3,a4,a6] |
Generators |
[355955:18730386:125] |
Generators of the group modulo torsion |
j |
697619189976914/8037909 |
j-invariant |
L |
8.4366013212863 |
L(r)(E,1)/r! |
Ω |
0.22270869477146 |
Real period |
R |
9.4704444925929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48312m4 32208a4 |
Quadratic twists by: -4 -3 |