Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bs |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.8426950710351E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25624034,63937978640] |
[a1,a2,a3,a4,a6] |
Generators |
[85495603650:-13945566115939:3375000] |
Generators of the group modulo torsion |
j |
655215969476375/1001033261568 |
j-invariant |
L |
5.7783865000131 |
L(r)(E,1)/r! |
Ω |
0.054733182900155 |
Real period |
R |
13.196716748179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734b4 4998g4 |
Quadratic twists by: -7 17 |