Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152w |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
7928601408 = 26 · 34 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702,5508] |
[a1,a2,a3,a4,a6] |
j |
5088448/1053 |
j-invariant |
L |
4.973823150781 |
L(r)(E,1)/r! |
Ω |
1.2434557883298 |
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 |
61152bk1 122304bc2 1248a1 |
Quadratic twists by: -4 8 -7 |