Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gu |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3989088000000000 = -1 · 214 · 38 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37167,1263537] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:201:1] |
Generators of the group modulo torsion |
j |
177433072/124659 |
j-invariant |
L |
5.9145687416831 |
L(r)(E,1)/r! |
Ω |
0.27867222821595 |
Real period |
R |
5.3060263521028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200es2 22800bn2 91200iu2 |
Quadratic twists by: -4 8 5 |