Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650r |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-2.4956520575795E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5399417,-9003658259] |
[a1,a2,a3,a4,a6] |
Generators |
[22388076029835:-940720487039479:5919918129] |
Generators of the group modulo torsion |
j |
-9470133471933009/13576123187200 |
j-invariant |
L |
3.8081396498724 |
L(r)(E,1)/r! |
Ω |
0.047080748574911 |
Real period |
R |
20.221320630721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330v1 5950c1 |
Quadratic twists by: 5 -7 |