Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678f |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3780 |
Modular degree for the optimal curve |
Δ |
-162712 = -1 · 23 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 11+ 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,21] |
[a1,a2,a3,a4,a6] |
j |
5375/88 |
j-invariant |
L |
2.4031021773702 |
L(r)(E,1)/r! |
Ω |
2.4031021773934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678p1 |
Quadratic twists by: -43 |