Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300y |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-1096416000 = -1 · 28 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,-700] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] [5:25:1] |
Generators of the group modulo torsion |
j |
65536/47 |
j-invariant |
L |
8.8364037352868 |
L(r)(E,1)/r! |
Ω |
0.87187101684746 |
Real period |
R |
0.84458247115857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700m1 42300bd1 |
Quadratic twists by: -3 5 |