Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7995h |
Isogeny class |
Conductor |
7995 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-120956355 = -1 · 33 · 5 · 13 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-536,4631] |
[a1,a2,a3,a4,a6] |
Generators |
[122:119:8] |
Generators of the group modulo torsion |
j |
-17061927030784/120956355 |
j-invariant |
L |
9.2252505462411 |
L(r)(E,1)/r! |
Ω |
1.8721542605655 |
Real period |
R |
0.54751248872068 |
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 |
127920ba1 23985n1 39975j1 103935n1 |
Quadratic twists by: -4 -3 5 13 |