Atkin-Lehner |
3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689n |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-4.5158411624182E+20 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40797451,100287457516] |
[a1,a2,a3,a4,a6] |
Generators |
[3700:796:1] |
Generators of the group modulo torsion |
j |
-289531596860402017/17410522563 |
j-invariant |
L |
4.7188661801754 |
L(r)(E,1)/r! |
Ω |
0.15807642148358 |
Real period |
R |
2.1322716368328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73689i1 |
Quadratic twists by: -11 |