Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050c |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
8624938154500000000 = 28 · 59 · 297 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1475692,-674996784] |
[a1,a2,a3,a4,a6] |
Generators |
[24468308040:365097134628:16194277] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
4.7685835578736 |
L(r)(E,1)/r! |
Ω |
0.13718067610806 |
Real period |
R |
17.380667937934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8410g1 1450e1 |
Quadratic twists by: 5 29 |