Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525i |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
63566015625 = 34 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2118875,1186269000] |
[a1,a2,a3,a4,a6] |
Generators |
[820:590:1] |
Generators of the group modulo torsion |
j |
67331767795986521521/4068225 |
j-invariant |
L |
4.4909094758561 |
L(r)(E,1)/r! |
Ω |
0.60617991214714 |
Real period |
R |
1.8521355565664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575be1 4305j1 |
Quadratic twists by: -3 5 |