Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8674025472000000000 = -1 · 222 · 32 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,511167,16905537] |
[a1,a2,a3,a4,a6] |
j |
28849701763/16941456 |
j-invariant |
L |
0.56299650639787 |
L(r)(E,1)/r! |
Ω |
0.14074912660041 |
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 |
33600hj2 1050r2 100800gs2 33600ds2 |
Quadratic twists by: -4 8 -3 5 |