Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175w |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-140875 = -1 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 2 4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,39] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-229376/23 |
j-invariant |
L |
3.0394912644921 |
L(r)(E,1)/r! |
Ω |
3.1894271142143 |
Real period |
R |
0.47649486187441 |
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 |
28175bb1 28175p1 |
Quadratic twists by: 5 -7 |