Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896f |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-47755008 = -1 · 28 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,420] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] |
Generators of the group modulo torsion |
j |
-137842000/186543 |
j-invariant |
L |
3.5441042146112 |
L(r)(E,1)/r! |
Ω |
1.8141436410215 |
Real period |
R |
0.48839906257583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792g1 63168bj1 23688i1 55272bl1 |
Quadratic twists by: -4 8 -3 -7 |