Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18768o |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
2795211703657757952 = 28 · 37 · 177 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -2 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1888229,-994814775] |
[a1,a2,a3,a4,a6] |
Generators |
[-783:1734:1] |
Generators of the group modulo torsion |
j |
2908358687307694538752/10918795717413117 |
j-invariant |
L |
2.3367085182433 |
L(r)(E,1)/r! |
Ω |
0.12882018864283 |
Real period |
R |
1.2956645465398 |
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 |
4692f1 75072db1 56304bf1 |
Quadratic twists by: -4 8 -3 |