Atkin-Lehner |
3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477i |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
28153028799310653 = 37 · 76 · 17 · 235 |
Discriminant |
Eigenvalues |
0 3+ 2 7- 2 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-82777,-4315242] |
[a1,a2,a3,a4,a6] |
j |
533174986473472/239296796397 |
j-invariant |
L |
1.4676103677586 |
L(r)(E,1)/r! |
Ω |
0.29352207293393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173c1 |
Quadratic twists by: -7 |