Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974l |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3340008 = 23 · 33 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8063,278001] |
[a1,a2,a3,a4,a6] |
j |
57971836400640625/3340008 |
j-invariant |
L |
3.7811019270963 |
L(r)(E,1)/r! |
Ω |
1.8905509635481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15792n2 63168n2 5922i2 49350a2 |
Quadratic twists by: -4 8 -3 5 |