Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ec |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
286003200 = 212 · 3 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1881,32025] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:120:1] [11:112:1] |
Generators of the group modulo torsion |
j |
179788129984/69825 |
j-invariant |
L |
10.146970039076 |
L(r)(E,1)/r! |
Ω |
1.7030578577319 |
Real period |
R |
1.4895222129271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ex1 63840cb1 |
Quadratic twists by: -4 8 |