Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974m |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-186472368 = -1 · 24 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 2 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38,660] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:28:1] |
Generators of the group modulo torsion |
j |
-1140625/34992 |
j-invariant |
L |
10.410717856548 |
L(r)(E,1)/r! |
Ω |
1.4998105034368 |
Real period |
R |
0.24790555284655 |
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 |
95922b1 31974l1 |
Quadratic twists by: -3 73 |