Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10108c |
Isogeny class |
Conductor |
10108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
283024 = 24 · 72 · 192 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] [11:7:1] |
Generators of the group modulo torsion |
j |
10686208/49 |
j-invariant |
L |
4.5643421723637 |
L(r)(E,1)/r! |
Ω |
1.5853511131342 |
Real period |
R |
1.4395366851384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40432q1 90972m1 70756e1 10108a1 |
Quadratic twists by: -4 -3 -7 -19 |