Atkin-Lehner |
2+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144a |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-286558976 = -1 · 28 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 -2 11+ 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65457,-6467749] |
[a1,a2,a3,a4,a6] |
Generators |
[20260:137779:64] |
Generators of the group modulo torsion |
j |
-91029177187328/841 |
j-invariant |
L |
4.3160500232402 |
L(r)(E,1)/r! |
Ω |
0.14923819290667 |
Real period |
R |
7.2301365004256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28072d1 56144b1 |
Quadratic twists by: -4 -11 |