Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39840a |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-793612800 = -1 · 29 · 32 · 52 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184,-1020] |
[a1,a2,a3,a4,a6] |
Generators |
[8:30:1] |
Generators of the group modulo torsion |
j |
1338273208/1550025 |
j-invariant |
L |
2.8930000656469 |
L(r)(E,1)/r! |
Ω |
0.85659316865106 |
Real period |
R |
0.84433315940431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840k2 79680bb2 119520w2 |
Quadratic twists by: -4 8 -3 |