Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175v |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-54456780875 = -1 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
0 1 5- 7- -1 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16823,-845561] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-2818:1] |
Generators of the group modulo torsion |
j |
-35806478336/3703 |
j-invariant |
L |
4.7367222765593 |
L(r)(E,1)/r! |
Ω |
0.20959882895441 |
Real period |
R |
1.4124370053105 |
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 |
28175ba1 4025g1 |
Quadratic twists by: 5 -7 |