Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976z |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13889175552 = 218 · 32 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2273,-40575] |
[a1,a2,a3,a4,a6] |
j |
4956477625/52983 |
j-invariant |
L |
1.3837072671953 |
L(r)(E,1)/r! |
Ω |
0.6918536336312 |
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 |
38976v2 9744p2 116928dq2 |
Quadratic twists by: -4 8 -3 |