Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bi |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-283792929654528 = -1 · 28 · 38 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10458,-906444] |
[a1,a2,a3,a4,a6] |
Generators |
[260705:11758674:125] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
3.560137063921 |
L(r)(E,1)/r! |
Ω |
0.22082231685091 |
Real period |
R |
8.0610898270857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138bb1 126b1 |
Quadratic twists by: -3 17 |