Atkin-Lehner |
5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37825d |
Isogeny class |
Conductor |
37825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15600 |
Modular degree for the optimal curve |
Δ |
-591015625 = -1 · 58 · 17 · 89 |
Discriminant |
Eigenvalues |
1 -2 5- 2 3 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-701,7173] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:117:1] |
Generators of the group modulo torsion |
j |
-97325545/1513 |
j-invariant |
L |
5.6333952728997 |
L(r)(E,1)/r! |
Ω |
1.6354131216094 |
Real period |
R |
3.4446313279885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37825b1 |
Quadratic twists by: 5 |