Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bi |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
40620090281951232 = 226 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98892,7017840] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:4096:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
3.5247563201029 |
L(r)(E,1)/r! |
Ω |
0.33086607885618 |
Real period |
R |
2.6632802483267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998566342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dh1 3978b1 14144k1 |
Quadratic twists by: -4 8 -3 |