Atkin-Lehner |
2- 3- 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330bi |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-30580546560 = -1 · 210 · 3 · 5 · 172 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-795,11985] |
[a1,a2,a3,a4,a6] |
Generators |
[2:101:1] |
Generators of the group modulo torsion |
j |
-55572411167281/30580546560 |
j-invariant |
L |
10.693634216422 |
L(r)(E,1)/r! |
Ω |
1.0908098635893 |
Real period |
R |
0.98033897321421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990o1 |
Quadratic twists by: -3 |