Atkin-Lehner |
2+ 3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
108630a |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4953600 |
Modular degree for the optimal curve |
Δ |
1.2455709769728E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1462875,-659144539] |
[a1,a2,a3,a4,a6] |
Generators |
[-725:4831:1] |
Generators of the group modulo torsion |
j |
17589530230430940963/632815616000000 |
j-invariant |
L |
2.6620703000648 |
L(r)(E,1)/r! |
Ω |
0.1375806382942 |
Real period |
R |
4.8372909894454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998959235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108630i1 |
Quadratic twists by: -3 |