Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792g |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
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 |
[22:96:1] |
Generators of the group modulo torsion |
j |
-137842000/186543 |
j-invariant |
L |
5.7183772649763 |
L(r)(E,1)/r! |
Ω |
0.79083725131688 |
Real period |
R |
1.8076972396831 |
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 |
7896f1 63168cb1 47376f1 110544g1 |
Quadratic twists by: -4 8 -3 -7 |