Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042a |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-19761264961776 = -1 · 24 · 39 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4848,-249040] |
[a1,a2,a3,a4,a6] |
Generators |
[92:232:1] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
2.3003556738829 |
L(r)(E,1)/r! |
Ω |
0.27116055319424 |
Real period |
R |
4.2416856854453 |
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 |
24336be1 97344h1 3042i1 76050dm1 |
Quadratic twists by: -4 8 -3 5 |