Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800d |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-216086083603200 = -1 · 28 · 310 · 52 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-707148] |
[a1,a2,a3,a4,a6] |
Generators |
[34034:164268:343] |
Generators of the group modulo torsion |
j |
-506530000/33763450563 |
j-invariant |
L |
5.6878080245735 |
L(r)(E,1)/r! |
Ω |
0.2562735815673 |
Real period |
R |
5.5485703889193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600bc1 49800bj1 |
Quadratic twists by: -4 5 |