Atkin-Lehner |
3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315n |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-4846643505 = -1 · 39 · 5 · 113 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,-4084] |
[a1,a2,a3,a4,a6] |
Generators |
[24:19:1] |
Generators of the group modulo torsion |
j |
-6321363049/6648345 |
j-invariant |
L |
2.6372506567705 |
L(r)(E,1)/r! |
Ω |
0.53099345413505 |
Real period |
R |
2.4833174837027 |
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 |
6105i1 91575x1 |
Quadratic twists by: -3 5 |