Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664y |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-42461606969344 = -1 · 224 · 17 · 533 |
Discriminant |
Eigenvalues |
2- -2 3 -5 0 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8671,-38561] |
[a1,a2,a3,a4,a6] |
j |
275005425527/161978176 |
j-invariant |
L |
1.5083493947066 |
L(r)(E,1)/r! |
Ω |
0.37708734921258 |
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 |
57664d1 14416g1 |
Quadratic twists by: -4 8 |