Atkin-Lehner |
2+ 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890o |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
2679767040000 = 220 · 3 · 54 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53584,-4777954] |
[a1,a2,a3,a4,a6] |
Generators |
[51322770009:5664873221603:4173281] |
Generators of the group modulo torsion |
j |
17014431858592996729/2679767040000 |
j-invariant |
L |
5.0599659827796 |
L(r)(E,1)/r! |
Ω |
0.3137948759027 |
Real period |
R |
16.125075236569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670ch1 |
Quadratic twists by: -3 |