Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268a |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-69578559792 = -1 · 24 · 33 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764,31213] |
[a1,a2,a3,a4,a6] |
j |
-11943936/1369 |
j-invariant |
L |
4.2653422225876 |
L(r)(E,1)/r! |
Ω |
1.0663355583304 |
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 |
65268b1 1332b1 |
Quadratic twists by: -3 -7 |