Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360g |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-18000640 = -1 · 28 · 5 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 6 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
27648/205 |
j-invariant |
L |
7.1682278924201 |
L(r)(E,1)/r! |
Ω |
1.5899955338716 |
Real period |
R |
0.56354151149884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80360b1 |
Quadratic twists by: -7 |