Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576o |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
29492248576 = 221 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -4 -2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1409,18143] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:196:1] [11:64:1] |
Generators of the group modulo torsion |
j |
3442951/328 |
j-invariant |
L |
15.846125117205 |
L(r)(E,1)/r! |
Ω |
1.1457982144953 |
Real period |
R |
1.7287211793259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cj1 4018o1 128576bo1 |
Quadratic twists by: -4 8 -7 |