Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bc |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-49962625493760 = -1 · 28 · 36 · 5 · 72 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16224,869120] |
[a1,a2,a3,a4,a6] |
Generators |
[80:240:1] |
Generators of the group modulo torsion |
j |
-647865799013889/68535837440 |
j-invariant |
L |
5.3044856418458 |
L(r)(E,1)/r! |
Ω |
0.61758438314784 |
Real period |
R |
2.1472716062175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210d1 |
Quadratic twists by: -3 |