Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cg |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-1.7792372750913E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37968152,90286559003] |
[a1,a2,a3,a4,a6] |
Generators |
[2733:81865:1] |
Generators of the group modulo torsion |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
9.824709257785 |
L(r)(E,1)/r! |
Ω |
0.12329369930252 |
Real period |
R |
0.58592214895883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138g1 2142s1 |
Quadratic twists by: -3 17 |