Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470n |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86201100 = 22 · 32 · 52 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-427,-3551] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:11:1] |
Generators of the group modulo torsion |
j |
8641627880761/86201100 |
j-invariant |
L |
3.9098133564043 |
L(r)(E,1)/r! |
Ω |
1.0505623167504 |
Real period |
R |
0.93040967062682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410x2 |
Quadratic twists by: -3 |