Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
88305d |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2338560 |
Modular degree for the optimal curve |
Δ |
-2.7808274137667E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -3 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1351049,-527035126] |
[a1,a2,a3,a4,a6] |
Generators |
[2032:-104039:1] |
Generators of the group modulo torsion |
j |
545196438191/555891525 |
j-invariant |
L |
2.5665493696802 |
L(r)(E,1)/r! |
Ω |
0.094366185270361 |
Real period |
R |
0.64756584151691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88305p1 |
Quadratic twists by: 29 |