Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bu |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
669935702016 = 212 · 34 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3897,-86265] |
[a1,a2,a3,a4,a6] |
j |
1598329885888/163558521 |
j-invariant |
L |
4.8658187603951 |
L(r)(E,1)/r! |
Ω |
0.60822734505167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38976bc2 19488f1 116928ex2 |
Quadratic twists by: -4 8 -3 |