Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200bf |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
2543906250000000000 = 210 · 35 · 516 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344008,11823488] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:4950:1] |
Generators of the group modulo torsion |
j |
281391269564164/158994140625 |
j-invariant |
L |
7.7437750412689 |
L(r)(E,1)/r! |
Ω |
0.22132392851686 |
Real period |
R |
3.4988422142884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400j1 120600j1 8040d1 |
Quadratic twists by: -4 -3 5 |