Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978p |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-1092021941912272896 = -1 · 216 · 3 · 711 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 0 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325240,87184313] |
[a1,a2,a3,a4,a6] |
Generators |
[-563:9885:1] |
Generators of the group modulo torsion |
j |
-1354515295526614729/388758256287744 |
j-invariant |
L |
10.358977922314 |
L(r)(E,1)/r! |
Ω |
0.26143351292684 |
Real period |
R |
0.22513498076317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978k1 |
Quadratic twists by: 53 |