Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300s |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
17131500000000 = 28 · 36 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23175,-1343250] |
[a1,a2,a3,a4,a6] |
Generators |
[-121330:144800:1331] |
Generators of the group modulo torsion |
j |
472058064/5875 |
j-invariant |
L |
5.6777179183424 |
L(r)(E,1)/r! |
Ω |
0.387232237209 |
Real period |
R |
7.3311534691174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700f1 8460m1 |
Quadratic twists by: -3 5 |