Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600t |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-680000000000 = -1 · 212 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 0 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,40463] |
[a1,a2,a3,a4,a6] |
Generators |
[2:197:1] |
Generators of the group modulo torsion |
j |
-1600/17 |
j-invariant |
L |
6.1599296720939 |
L(r)(E,1)/r! |
Ω |
0.77241339532583 |
Real period |
R |
3.9874565286995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13600d1 27200x1 122400x1 13600h1 |
Quadratic twists by: -4 8 -3 5 |