Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bt |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
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] |
j |
254467069952/147593259 |
j-invariant |
L |
1.220040101481 |
L(r)(E,1)/r! |
Ω |
0.61002008269238 |
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 |
78144bm1 19536o1 |
Quadratic twists by: -4 8 |