Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bs |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
81501880320000000 = 224 · 33 · 57 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-196063,30379781] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:6802:1] |
Generators of the group modulo torsion |
j |
53344635908334121/5216120340480 |
j-invariant |
L |
8.8894066955832 |
L(r)(E,1)/r! |
Ω |
0.33266131561506 |
Real period |
R |
2.2268411039284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870i1 |
Quadratic twists by: 5 |