Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bk |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
827511542928 = 24 · 36 · 73 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29912,-2003191] |
[a1,a2,a3,a4,a6] |
Generators |
[5519:407089:1] |
Generators of the group modulo torsion |
j |
8629126903782631/2412570096 |
j-invariant |
L |
11.782719285399 |
L(r)(E,1)/r! |
Ω |
0.36303241324983 |
Real period |
R |
8.114095914566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954cr1 |
Quadratic twists by: -7 |