Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640a |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-1444441600000 = -1 · 212 · 55 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,232,57808] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:196:1] |
Generators of the group modulo torsion |
j |
337153536/352646875 |
j-invariant |
L |
3.0871209090336 |
L(r)(E,1)/r! |
Ω |
0.66570344419723 |
Real period |
R |
1.1593454021753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52640g1 105280z1 |
Quadratic twists by: -4 8 |