Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27360000000000 = 214 · 32 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7633,53137] |
[a1,a2,a3,a4,a6] |
Generators |
[87:200:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
5.7184041500164 |
L(r)(E,1)/r! |
Ω |
0.57737698073786 |
Real period |
R |
2.4760270746124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dj2 22800dd2 18240cz2 |
Quadratic twists by: -4 8 5 |