Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762s |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1452121843880502144 = -1 · 27 · 312 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,114340,-56025574] |
[a1,a2,a3,a4,a6] |
j |
4096768048001/35984932992 |
j-invariant |
L |
1.5993603966386 |
L(r)(E,1)/r! |
Ω |
0.13328003305322 |
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 |
54096bm2 20286cg2 6762h2 |
Quadratic twists by: -4 -3 -7 |