Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134m |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2231784966903184 = -1 · 24 · 711 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6428,2283168] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:1140:1] |
Generators of the group modulo torsion |
j |
-249689960073/18969859216 |
j-invariant |
L |
5.6119763340273 |
L(r)(E,1)/r! |
Ω |
0.38079552265768 |
Real period |
R |
1.2281255074293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162d1 |
Quadratic twists by: -7 |