Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cd |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6266880 |
Modular degree for the optimal curve |
Δ |
-4.7869987494298E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87236208,-315345089088] |
[a1,a2,a3,a4,a6] |
Generators |
[24943489927781878561439721227925095752:-5369028299616238545570990228267147984896:516696371184008787842707063978517] |
Generators of the group modulo torsion |
j |
-9177493130077937309/59837484367872 |
j-invariant |
L |
5.3162423274367 |
L(r)(E,1)/r! |
Ω |
0.024690288466175 |
Real period |
R |
53.829285294972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bm1 51600du1 |
Quadratic twists by: -4 5 |