Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448bq |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10429841011949568 = 214 · 39 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65883,4268810] |
[a1,a2,a3,a4,a6] |
j |
10591472326681/3492932652 |
j-invariant |
L |
2.9960814561983 |
L(r)(E,1)/r! |
Ω |
0.37451017618892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306j2 24816k2 |
Quadratic twists by: -4 -3 |