Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200i |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1386240000000 = -1 · 214 · 3 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033,-66063] |
[a1,a2,a3,a4,a6] |
Generators |
[97:800:1] |
Generators of the group modulo torsion |
j |
-3631696/5415 |
j-invariant |
L |
3.9012531858149 |
L(r)(E,1)/r! |
Ω |
0.33752830538219 |
Real period |
R |
1.4447874168898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200id1 11400k1 18240ba1 |
Quadratic twists by: -4 8 5 |