Atkin-Lehner |
2+ 3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042f |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-141823802146553856 = -1 · 218 · 39 · 72 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 -1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,125859,5707781] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:40891:1] |
Generators of the group modulo torsion |
j |
11201683792858749/7205395628032 |
j-invariant |
L |
3.9921313410523 |
L(r)(E,1)/r! |
Ω |
0.20377863922424 |
Real period |
R |
2.448816129353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042be1 |
Quadratic twists by: -3 |