Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985h |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5828355 = -1 · 37 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,117] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
-262144/7995 |
j-invariant |
L |
4.3880836308387 |
L(r)(E,1)/r! |
Ω |
2.0021636849596 |
Real period |
R |
1.0958353864378 |
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 |
7995f1 119925x1 |
Quadratic twists by: -3 5 |