Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610s |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
13727609105414400 = 28 · 312 · 52 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64645,-2876863] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:1913:1] |
Generators of the group modulo torsion |
j |
29876447193905929681/13727609105414400 |
j-invariant |
L |
7.6366828485222 |
L(r)(E,1)/r! |
Ω |
0.31281338075958 |
Real period |
R |
0.50860215428729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880bx2 25830h2 43050g2 60270q2 |
Quadratic twists by: -4 -3 5 -7 |