Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188s |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
203043964816 = 24 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -3 3 7- 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1501,-5567] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:77:1] |
Generators of the group modulo torsion |
j |
64749825792/35153041 |
j-invariant |
L |
5.603661972585 |
L(r)(E,1)/r! |
Ω |
0.81797811823563 |
Real period |
R |
0.42816411057094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188q1 |
Quadratic twists by: -19 |