Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240ba |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-656541876800000 = -1 · 29 · 55 · 177 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18400,-778748] |
[a1,a2,a3,a4,a6] |
Generators |
[584:14450:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
5.7445638959884 |
L(r)(E,1)/r! |
Ω |
0.27932713954989 |
Real period |
R |
1.0282860278544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240i1 92480f1 2720e1 |
Quadratic twists by: -4 8 17 |