Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ds |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-555137630208000 = -1 · 222 · 32 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20447,143423] |
[a1,a2,a3,a4,a6] |
j |
28849701763/16941456 |
j-invariant |
L |
3.7766953782209 |
L(r)(E,1)/r! |
Ω |
0.31472461485224 |
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 |
33600fk2 1050e2 100800hr2 33600bn2 |
Quadratic twists by: -4 8 -3 5 |