Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bm |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-151135497216 = -1 · 210 · 34 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1331,1331] |
[a1,a2,a3,a4,a6] |
Generators |
[11:132:1] |
Generators of the group modulo torsion |
j |
254467069952/147593259 |
j-invariant |
L |
4.7561542959145 |
L(r)(E,1)/r! |
Ω |
0.61770725805167 |
Real period |
R |
0.64164081975591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bt1 9768b1 |
Quadratic twists by: -4 8 |