Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200o |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-126666611500000000 = -1 · 28 · 59 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139633,26438637] |
[a1,a2,a3,a4,a6] |
Generators |
[2172:99825:1] |
Generators of the group modulo torsion |
j |
-75271580947456/31666652875 |
j-invariant |
L |
8.695012828409 |
L(r)(E,1)/r! |
Ω |
0.30911288474934 |
Real period |
R |
2.0092088538668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600e1 11440g1 |
Quadratic twists by: -4 5 |