Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175x |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-429609544322875 = -1 · 53 · 710 · 233 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 0 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85286,9631143] |
[a1,a2,a3,a4,a6] |
Generators |
[167:146:1] |
Generators of the group modulo torsion |
j |
-1942939229/12167 |
j-invariant |
L |
4.062363888727 |
L(r)(E,1)/r! |
Ω |
0.53272004089697 |
Real period |
R |
3.8128506315316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28175bd1 28175q1 |
Quadratic twists by: 5 -7 |