Atkin-Lehner |
2- 3+ 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378y |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-439593740712 = -1 · 23 · 33 · 7 · 174 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-170,31953] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-183:1] [99:939:1] |
Generators of the group modulo torsion |
j |
-20012875875/16281249656 |
j-invariant |
L |
17.026728323506 |
L(r)(E,1)/r! |
Ω |
0.75986624206502 |
Real period |
R |
3.7345889263922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378c2 |
Quadratic twists by: -3 |