Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bq |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-4.1360892363133E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,400167,-973486006] |
[a1,a2,a3,a4,a6] |
Generators |
[1728:-69863:1] |
Generators of the group modulo torsion |
j |
1605632000/93710763 |
j-invariant |
L |
5.7251332112231 |
L(r)(E,1)/r! |
Ω |
0.080299629744447 |
Real period |
R |
1.6203893383628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381d1 84525a1 |
Quadratic twists by: 5 -7 |