Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640n |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
542976 |
Modular degree for the optimal curve |
Δ |
283891015625000000 = 26 · 514 · 7 · 473 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190170,18955768] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:4750:1] |
Generators of the group modulo torsion |
j |
11884257174421941184/4435797119140625 |
j-invariant |
L |
4.6542314804565 |
L(r)(E,1)/r! |
Ω |
0.28177204703284 |
Real period |
R |
2.3596741355269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640j1 105280c1 |
Quadratic twists by: -4 8 |