Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150z |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
26152875000 = 23 · 36 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9042,333116] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:841:1] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
5.6131816905112 |
L(r)(E,1)/r! |
Ω |
1.165330829069 |
Real period |
R |
4.8168138839377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999530946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350n1 5166bi1 |
Quadratic twists by: -3 5 |