Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922f |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2175837552 = -1 · 24 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,324,0] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] |
Generators of the group modulo torsion |
j |
5150827583/2984688 |
j-invariant |
L |
3.151854933477 |
L(r)(E,1)/r! |
Ω |
0.87822750050783 |
Real period |
R |
0.89722051850303 |
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 |
47376bk1 1974h1 41454r1 |
Quadratic twists by: -4 -3 -7 |