Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870u |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-19561969833696000 = -1 · 28 · 36 · 53 · 233 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-140139,21319173] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:6549:1] |
Generators of the group modulo torsion |
j |
-417517774988138929/26833977824000 |
j-invariant |
L |
3.8892318397503 |
L(r)(E,1)/r! |
Ω |
0.37946241157513 |
Real period |
R |
1.7082200695315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992897 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9430g2 |
Quadratic twists by: -3 |