Atkin-Lehner |
5+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38425g |
Isogeny class |
Conductor |
38425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-100985703125 = -1 · 57 · 293 · 53 |
Discriminant |
Eigenvalues |
-1 -1 5+ 3 -5 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5088,138406] |
[a1,a2,a3,a4,a6] |
Generators |
[70:327:1] |
Generators of the group modulo torsion |
j |
-932288503609/6463085 |
j-invariant |
L |
3.1708470959355 |
L(r)(E,1)/r! |
Ω |
1.0687615468927 |
Real period |
R |
0.24723686846972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685c1 |
Quadratic twists by: 5 |