Atkin-Lehner |
2- 3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bk |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3704640 |
Modular degree for the optimal curve |
Δ |
-6263485440 = -1 · 210 · 3 · 5 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-383233125,2887605572865] |
[a1,a2,a3,a4,a6] |
j |
-6224619857216584404463485570001/6263485440 |
j-invariant |
L |
7.8768804827614 |
L(r)(E,1)/r! |
Ω |
0.26256268275994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990j1 |
Quadratic twists by: -3 |