Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bc |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
32 |
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 |
1.7628986170354 |
L(r)(E,1)/r! |
Ω |
0.88144930851422 |
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 |
38976bu2 19488g1 116928du2 |
Quadratic twists by: -4 8 -3 |