Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300k |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-18502020000000 = -1 · 28 · 39 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,206750] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1350:1] |
Generators of the group modulo torsion |
j |
21296/6345 |
j-invariant |
L |
5.8134323802159 |
L(r)(E,1)/r! |
Ω |
0.53373796377896 |
Real period |
R |
0.2269150459717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100c1 8460j1 |
Quadratic twists by: -3 5 |