Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ct |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-331091751263616 = -1 · 27 · 37 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40755,3268593] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1070:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
8.1252111262628 |
L(r)(E,1)/r! |
Ω |
0.53650454193208 |
Real period |
R |
1.081765721729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dm2 294b2 |
Quadratic twists by: -7 17 |