Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770k |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3009216510244E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35795520,82762495200] |
[a1,a2,a3,a4,a6] |
j |
-6957964649754643368453121/31562711262337500000 |
j-invariant |
L |
0.96689497107574 |
L(r)(E,1)/r! |
Ω |
0.1208618713346 |
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 |
16590y4 |
Quadratic twists by: -3 |