Atkin-Lehner |
2- 3- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698bm |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-589262760576 = -1 · 27 · 37 · 73 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2489,61017] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:198:1] [35:108:1] |
Generators of the group modulo torsion |
j |
-2338337977417/808316544 |
j-invariant |
L |
11.168731866 |
L(r)(E,1)/r! |
Ω |
0.86535016993565 |
Real period |
R |
0.076825023130664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566e1 |
Quadratic twists by: -3 |