Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010s |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2413044187487447220 = -1 · 22 · 32 · 5 · 710 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-297554,97385096] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:10837:1] |
Generators of the group modulo torsion |
j |
-24764567772437641/20510537169780 |
j-invariant |
L |
4.0723262147534 |
L(r)(E,1)/r! |
Ω |
0.23645884356358 |
Real period |
R |
2.1527669244166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430i4 |
Quadratic twists by: -7 |