Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870g |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3032822250 = 2 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12024,-504482] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:34:1] |
Generators of the group modulo torsion |
j |
263732349218689/4160250 |
j-invariant |
L |
2.9231797263645 |
L(r)(E,1)/r! |
Ω |
0.45591725669074 |
Real period |
R |
1.0686075464593 |
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 |
30960ca2 123840by2 1290j2 19350ch2 |
Quadratic twists by: -4 8 -3 5 |