Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966cd |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
137984 |
Modular degree for the optimal curve |
Δ |
-764664219648 = -1 · 211 · 37 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -5 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1985,54609] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2004:1] [23:-156:1] |
Generators of the group modulo torsion |
j |
-48627125/43008 |
j-invariant |
L |
16.113033759776 |
L(r)(E,1)/r! |
Ω |
0.82110062844436 |
Real period |
R |
0.22299660966197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322g1 105966o1 |
Quadratic twists by: -3 29 |