Atkin-Lehner |
3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477n |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2112676858593 = 38 · 77 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4117,-74152] |
[a1,a2,a3,a4,a6] |
j |
65597103937/17957457 |
j-invariant |
L |
2.4330906941295 |
L(r)(E,1)/r! |
Ω |
0.60827267377225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211d1 |
Quadratic twists by: -7 |