Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610l |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-413452200 = -1 · 23 · 3 · 52 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6,-981] |
[a1,a2,a3,a4,a6] |
Generators |
[39:225:1] |
Generators of the group modulo torsion |
j |
-24137569/413452200 |
j-invariant |
L |
5.1902171309606 |
L(r)(E,1)/r! |
Ω |
0.76599298211095 |
Real period |
R |
0.2258600819317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880cb1 25830s1 43050l1 60270bt1 |
Quadratic twists by: -4 -3 5 -7 |