Atkin-Lehner |
3- 5- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755y |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
1262147564970703125 = 32 · 510 · 115 · 13 · 193 |
Discriminant |
Eigenvalues |
0 3- 5- -3 11- 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-497315,-123859681] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:2062:1] |
Generators of the group modulo torsion |
j |
13602516495089084563456/1262147564970703125 |
j-invariant |
L |
5.4482457909817 |
L(r)(E,1)/r! |
Ω |
0.1808487288096 |
Real period |
R |
0.30125983338892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122265i1 |
Quadratic twists by: -3 |