Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550o |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1217868032000000 = 214 · 56 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2478825,-1503194875] |
[a1,a2,a3,a4,a6] |
Generators |
[-53914731:27806537:59319] |
Generators of the group modulo torsion |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
4.3366978234788 |
L(r)(E,1)/r! |
Ω |
0.12032007219065 |
Real period |
R |
9.010753036715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782c1 |
Quadratic twists by: 5 |