Atkin-Lehner |
2- 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378bc |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-17099058025857024 = -1 · 221 · 39 · 7 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10931,-6303981] |
[a1,a2,a3,a4,a6] |
Generators |
[371:-6558:1] |
Generators of the group modulo torsion |
j |
-198124698564073/23455497977856 |
j-invariant |
L |
13.634521198572 |
L(r)(E,1)/r! |
Ω |
0.17286591683275 |
Real period |
R |
0.46948447526565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126d1 |
Quadratic twists by: -3 |