Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40678p |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
162540 |
Modular degree for the optimal curve |
Δ |
-1028561624428888 = -1 · 23 · 11 · 438 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8282,-1514820] |
[a1,a2,a3,a4,a6] |
j |
5375/88 |
j-invariant |
L |
2.1639829862081 |
L(r)(E,1)/r! |
Ω |
0.24044255402864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40678f1 |
Quadratic twists by: -43 |