Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175z |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
-5285013671875 = -1 · 59 · 76 · 23 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 0 -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22458,-1307631] |
[a1,a2,a3,a4,a6] |
Generators |
[298239624192:-4012421203537:1073741824] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
6.7637876788326 |
L(r)(E,1)/r! |
Ω |
0.19494654300351 |
Real period |
R |
17.347801029513 |
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 |
28175be1 575c1 |
Quadratic twists by: 5 -7 |