Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673f |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-93802617 = -1 · 38 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 -3 -3 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071,13770] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:150:1] [18:-18:1] |
Generators of the group modulo torsion |
j |
-221715817/153 |
j-invariant |
L |
14.766433842829 |
L(r)(E,1)/r! |
Ω |
1.884192908205 |
Real period |
R |
1.9592518601234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891m1 128673t1 |
Quadratic twists by: -3 29 |