Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200db |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-13447987200 = -1 · 220 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,447,4383] |
[a1,a2,a3,a4,a6] |
Generators |
[27:192:1] [9:96:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
12.62398561997 |
L(r)(E,1)/r! |
Ω |
0.84873824831593 |
Real period |
R |
1.2394855584454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fx1 2850s1 91200bq1 |
Quadratic twists by: -4 8 5 |