Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984t |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-166817919419136 = -1 · 28 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -3 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,-631028] |
[a1,a2,a3,a4,a6] |
Generators |
[1778761:33052077:4913] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
7.5694225128989 |
L(r)(E,1)/r! |
Ω |
0.24685500764774 |
Real period |
R |
7.6658587818394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25992i1 5776f1 2736i1 |
Quadratic twists by: -4 -3 -19 |