Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300f |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-40608000 = -1 · 28 · 33 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1095,13950] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
-168055344/47 |
j-invariant |
L |
4.480179742723 |
L(r)(E,1)/r! |
Ω |
1.99316937629 |
Real period |
R |
0.18731389130037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42300h1 42300g1 |
Quadratic twists by: -3 5 |