Atkin-Lehner |
2- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144j |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
-1120345834110976 = -1 · 214 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,-1610510] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4080:1] |
Generators of the group modulo torsion |
j |
-27/116 |
j-invariant |
L |
1.8261234303254 |
L(r)(E,1)/r! |
Ω |
0.22209627466603 |
Real period |
R |
4.1111077457427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7018a1 56144h1 |
Quadratic twists by: -4 -11 |