Atkin-Lehner |
2+ 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142k |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
1051623324 = 22 · 39 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 1 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-255,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-18:1] [-10:45:1] |
Generators of the group modulo torsion |
j |
5051106433/2913084 |
j-invariant |
L |
7.2757643819635 |
L(r)(E,1)/r! |
Ω |
1.323389320296 |
Real period |
R |
0.3054347848544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142m1 |
Quadratic twists by: -19 |