Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fq |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-820800 = -1 · 26 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,82] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-1572160/513 |
j-invariant |
L |
4.2105984454694 |
L(r)(E,1)/r! |
Ω |
2.6667374473646 |
Real period |
R |
1.5789325084109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200hj1 45600bq1 91200iz1 |
Quadratic twists by: -4 8 5 |