Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728n |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-282785079105994752 = -1 · 214 · 37 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71793,26658801] |
[a1,a2,a3,a4,a6] |
j |
-2497791173218000/17259831488403 |
j-invariant |
L |
2.1231739156635 |
L(r)(E,1)/r! |
Ω |
0.26539673945263 |
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 |
49728dy2 6216t2 |
Quadratic twists by: -4 8 |