Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670s |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12410834187150 = -1 · 2 · 34 · 52 · 77 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,856,169292] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:379:1] |
Generators of the group modulo torsion |
j |
590589719/105490350 |
j-invariant |
L |
3.6809759596495 |
L(r)(E,1)/r! |
Ω |
0.54926010801511 |
Real period |
R |
0.4188561935146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810d2 |
Quadratic twists by: -7 |