Atkin-Lehner |
2- 3+ 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630i |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
1651200 |
Modular degree for the optimal curve |
Δ |
17086021632000000 = 225 · 33 · 56 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162542,24466941] |
[a1,a2,a3,a4,a6] |
Generators |
[281:819:1] |
Generators of the group modulo torsion |
j |
17589530230430940963/632815616000000 |
j-invariant |
L |
12.368184000684 |
L(r)(E,1)/r! |
Ω |
0.38704461320612 |
Real period |
R |
0.10651815990195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108630a1 |
Quadratic twists by: -3 |