Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40293k |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1925373398371929 = 38 · 118 · 372 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43038,-2700945] |
[a1,a2,a3,a4,a6] |
j |
6826561273/1490841 |
j-invariant |
L |
2.6929148438056 |
L(r)(E,1)/r! |
Ω |
0.3366143554843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13431g2 3663e2 |
Quadratic twists by: -3 -11 |