Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344b |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109056 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 2 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31352,2136712] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-4:1] |
Generators of the group modulo torsion |
j |
3328277330110464/2021 |
j-invariant |
L |
5.8148444704711 |
L(r)(E,1)/r! |
Ω |
1.6062802062538 |
Real period |
R |
0.45250856956299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000019791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344bd1 16168b1 |
Quadratic twists by: -4 8 |