Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bq |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-28133568 = -1 · 26 · 38 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 6 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,182] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
512000/603 |
j-invariant |
L |
6.2950842946928 |
L(r)(E,1)/r! |
Ω |
1.4042445934619 |
Real period |
R |
2.2414486493318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592v1 9648n1 12864y1 |
Quadratic twists by: -4 8 -3 |