Atkin-Lehner |
2+ 3+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688a |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-8227232326092079872 = -1 · 28 · 36 · 11 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11+ 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,504543,3913533] |
[a1,a2,a3,a4,a6] |
Generators |
[19578:1008423:8] |
Generators of the group modulo torsion |
j |
55485236508042386432/32137626273797187 |
j-invariant |
L |
6.6193190956735 |
L(r)(E,1)/r! |
Ω |
0.13966827466802 |
Real period |
R |
0.98735723201811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58344e1 |
Quadratic twists by: -4 |