Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56416o |
Isogeny class |
Conductor |
56416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -3 0 1 4 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280,-1808] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1108:1] |
Generators of the group modulo torsion |
j |
-592704000/1763 |
j-invariant |
L |
4.3503384703821 |
L(r)(E,1)/r! |
Ω |
0.58344871554153 |
Real period |
R |
3.728124130318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56416m1 112832w1 |
Quadratic twists by: -4 8 |