Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985l |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10753314975 = -1 · 39 · 52 · 13 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,7168] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:116:1] |
Generators of the group modulo torsion |
j |
-25128011089/14750775 |
j-invariant |
L |
8.0290627804986 |
L(r)(E,1)/r! |
Ω |
1.1875371799451 |
Real period |
R |
1.6902760848443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7995a1 119925bf1 |
Quadratic twists by: -3 5 |