Atkin-Lehner |
2+ 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486l |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
109319696928 = 25 · 39 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -2 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1386,12244] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:188:1] |
Generators of the group modulo torsion |
j |
404075127457/149958432 |
j-invariant |
L |
3.8521776745624 |
L(r)(E,1)/r! |
Ω |
0.96523962119194 |
Real period |
R |
0.33257524780958 |
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 |
6162n1 |
Quadratic twists by: -3 |