Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816bl |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-678687959872 = -1 · 26 · 139 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2197,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2101197945150:-26428505903151:136590875000] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.7155424500947 |
L(r)(E,1)/r! |
Ω |
0.5416262493881 |
Real period |
R |
21.105116144396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10816bl1 5408k2 97344gr1 10816bm1 |
Quadratic twists by: -4 8 -3 13 |