Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870q |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
867660470156250000 = 24 · 317 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1390748,630032847] |
[a1,a2,a3,a4,a6] |
Generators |
[635:1311:1] |
Generators of the group modulo torsion |
j |
408076159454905367161/1190206406250000 |
j-invariant |
L |
4.8344078130934 |
L(r)(E,1)/r! |
Ω |
0.28200207271513 |
Real period |
R |
4.2857910285441 |
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 |
30960bl1 123840da1 1290b1 19350u1 |
Quadratic twists by: -4 8 -3 5 |