Atkin-Lehner |
2- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150bk |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
1254687500 = 22 · 58 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1263,-17719] |
[a1,a2,a3,a4,a6] |
j |
570420625/3212 |
j-invariant |
L |
6.4089099270057 |
L(r)(E,1)/r! |
Ω |
0.80111374087132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150h1 |
Quadratic twists by: 5 |