Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bh |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-367634350080 = -1 · 216 · 310 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,36002] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:162:1] [7:162:1] |
Generators of the group modulo torsion |
j |
-111284641/123120 |
j-invariant |
L |
5.8041335616598 |
L(r)(E,1)/r! |
Ω |
0.86631329633982 |
Real period |
R |
1.6749522332693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1710d1 54720eq1 4560u1 68400fs1 |
Quadratic twists by: -4 8 -3 5 |