Atkin-Lehner |
3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177a |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
226320160811481 = 36 · 112 · 376 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15772,232916] |
[a1,a2,a3,a4,a6] |
j |
169112377/88209 |
j-invariant |
L |
1.9657887850843 |
L(r)(E,1)/r! |
Ω |
0.49144719625022 |
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 |
33a1 |
Quadratic twists by: 37 |