Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395m |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
274938705 = 38 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-900,10287] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:153:1] |
Generators of the group modulo torsion |
j |
80627166849601/274938705 |
j-invariant |
L |
3.5721242902771 |
L(r)(E,1)/r! |
Ω |
1.7463936238547 |
Real period |
R |
2.0454290725093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320bz1 22185i1 36975g1 125715g1 |
Quadratic twists by: -4 -3 5 17 |