Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978y |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
Δ |
-1.5488054328021E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-876328,-368247232] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:27496:1] |
Generators of the group modulo torsion |
j |
-74425850790576178218625/15488054328021030912 |
j-invariant |
L |
11.773791068897 |
L(r)(E,1)/r! |
Ω |
0.077157760619798 |
Real period |
R |
0.77067544183979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934z2 |
Quadratic twists by: -3 |