Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bu |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-43506232546875 = -1 · 3 · 56 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28583,1877369] |
[a1,a2,a3,a4,a6] |
Generators |
[123:487:1] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
7.7114667826503 |
L(r)(E,1)/r! |
Ω |
0.6423924515102 |
Real period |
R |
3.0010730829069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381e1 84525l1 |
Quadratic twists by: 5 -7 |