Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870p |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1444469760 = -1 · 210 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,2427] |
[a1,a2,a3,a4,a6] |
Generators |
[5:33:1] |
Generators of the group modulo torsion |
j |
-2305199161/1981440 |
j-invariant |
L |
4.9167179122219 |
L(r)(E,1)/r! |
Ω |
1.3860840101914 |
Real period |
R |
0.35472005131514 |
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 |
30960bj1 123840cw1 1290a1 19350t1 |
Quadratic twists by: -4 8 -3 5 |