Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620t |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7824327840000 = -1 · 28 · 36 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,134622] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:350:1] [-17:370:1] |
Generators of the group modulo torsion |
j |
-44851536/41925625 |
j-invariant |
L |
8.8725820181349 |
L(r)(E,1)/r! |
Ω |
0.59731565449058 |
Real period |
R |
1.2378410464986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5180e2 |
Quadratic twists by: -3 |