Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380h |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
994194000 = 24 · 34 · 53 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-765,8262] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-945:1] [-7:115:1] |
Generators of the group modulo torsion |
j |
3098529366016/62137125 |
j-invariant |
L |
5.9729716737452 |
L(r)(E,1)/r! |
Ω |
1.5623909970643 |
Real period |
R |
0.42477428540753 |
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 |
77520cw1 58140d1 96900v1 |
Quadratic twists by: -4 -3 5 |