Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cy |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25285017600 = 214 · 32 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58336,5403764] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1710:1] |
Generators of the group modulo torsion |
j |
781484460931/900 |
j-invariant |
L |
5.6399189897871 |
L(r)(E,1)/r! |
Ω |
1.0062916981291 |
Real period |
R |
1.401164045174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830q2 86640bq2 |
Quadratic twists by: -4 -19 |