Atkin-Lehner |
2+ 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330q |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-222181704000 = -1 · 26 · 39 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1523,32078] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-200:1] |
Generators of the group modulo torsion |
j |
-390313384390441/222181704000 |
j-invariant |
L |
5.155983394298 |
L(r)(E,1)/r! |
Ω |
0.92361671803487 |
Real period |
R |
0.10337748560002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990bw1 |
Quadratic twists by: -3 |