Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dx |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-80494592000 = -1 · 217 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- 4 2 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3105,-69025] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7480:1] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
10.927737500941 |
L(r)(E,1)/r! |
Ω |
0.31931451711732 |
Real period |
R |
2.8518740690325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480bx1 23120c1 92480df1 |
Quadratic twists by: -4 8 17 |