Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bj |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1539000000 = -1 · 26 · 34 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7183,236737] |
[a1,a2,a3,a4,a6] |
j |
-40992251392/1539 |
j-invariant |
L |
2.822325780275 |
L(r)(E,1)/r! |
Ω |
1.4111628947437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200dg1 45600bs1 3648t1 |
Quadratic twists by: -4 8 5 |