Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bt |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-47121987584000 = -1 · 214 · 53 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -1 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40885,-3212717] |
[a1,a2,a3,a4,a6] |
Generators |
[246:1295:1] |
Generators of the group modulo torsion |
j |
-461324374319104/2876097875 |
j-invariant |
L |
7.3492477853113 |
L(r)(E,1)/r! |
Ω |
0.167809234294 |
Real period |
R |
1.4598417497487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880n1 20720j1 |
Quadratic twists by: -4 8 |