Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gt |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-770703360000000 = -1 · 226 · 3 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15967,1092063] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
2.7644485451831 |
L(r)(E,1)/r! |
Ω |
0.34555606814771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600l1 8400bp1 100800nx1 6720bg1 |
Quadratic twists by: -4 8 -3 5 |