Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870h |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
48750854400 = 28 · 311 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1719,-24867] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:51:1] |
Generators of the group modulo torsion |
j |
770842973809/66873600 |
j-invariant |
L |
2.5042780381513 |
L(r)(E,1)/r! |
Ω |
0.74552954922274 |
Real period |
R |
0.83976484928136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960cb1 123840ch1 1290m1 19350ci1 |
Quadratic twists by: -4 8 -3 5 |