Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480z |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-524663301120 = -1 · 210 · 3 · 5 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1504,-26160] |
[a1,a2,a3,a4,a6] |
Generators |
[24:156:1] |
Generators of the group modulo torsion |
j |
367179539324/512366505 |
j-invariant |
L |
5.8088682645934 |
L(r)(E,1)/r! |
Ω |
0.49262788808011 |
Real period |
R |
2.9478986092475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960e3 118440bf3 |
Quadratic twists by: -4 -3 |