Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175n |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
-6.0088643505485E+24 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -5 3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,28179492,-102938084082] |
[a1,a2,a3,a4,a6] |
Generators |
[1142724:236768599:27] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
1.5295814743308 |
L(r)(E,1)/r! |
Ω |
0.039085377861594 |
Real period |
R |
2.4458978619627 |
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 |
5635g1 4025e1 |
Quadratic twists by: 5 -7 |