Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200i |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-35990240000000 = -1 · 211 · 57 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4408,311312] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-1100:1] [-64:572:1] |
Generators of the group modulo torsion |
j |
-296071778/1124695 |
j-invariant |
L |
7.6016773408227 |
L(r)(E,1)/r! |
Ω |
0.56920625064944 |
Real period |
R |
0.13911326320917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600b1 11440d1 |
Quadratic twists by: -4 5 |