Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216f |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-33340785408 = -1 · 28 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28289,1821987] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-294:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
7.2299468729776 |
L(r)(E,1)/r! |
Ω |
1.0624637491861 |
Real period |
R |
0.28353700218442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432d1 984b1 |
Quadratic twists by: -4 -7 |