Atkin-Lehner |
3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17355d |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-398125988527921875 = -1 · 33 · 56 · 132 · 895 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-268380,-61436347] |
[a1,a2,a3,a4,a6] |
j |
-2137842841970353033216/398125988527921875 |
j-invariant |
L |
1.2459439116536 |
L(r)(E,1)/r! |
Ω |
0.10382865930446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52065h1 86775v1 |
Quadratic twists by: -3 5 |