Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050cc |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
9141092352000 = 220 · 35 · 53 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5558,64932] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:394:1] |
Generators of the group modulo torsion |
j |
151905748890293/73128738816 |
j-invariant |
L |
12.02773879628 |
L(r)(E,1)/r! |
Ω |
0.65018187203223 |
Real period |
R |
0.36998074888475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150bz1 43050j1 |
Quadratic twists by: -3 5 |