Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974l |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-107448768 = -1 · 26 · 36 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503,4329] |
[a1,a2,a3,a4,a6] |
j |
-14076076848625/107448768 |
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 |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15792n1 63168n1 5922i1 49350a1 |
Quadratic twists by: -4 8 -3 5 |