Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118096a |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-8563349197613936 = -1 · 24 · 119 · 613 |
Discriminant |
Eigenvalues |
2+ -1 -2 -1 11+ 4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-782184,266561539] |
[a1,a2,a3,a4,a6] |
Generators |
[21156:424589:64] |
Generators of the group modulo torsion |
j |
-1402803698432/226981 |
j-invariant |
L |
4.1056974718167 |
L(r)(E,1)/r! |
Ω |
0.39952267016852 |
Real period |
R |
5.1382535319427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998286468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59048i1 118096c1 |
Quadratic twists by: -4 -11 |