Atkin-Lehner |
3+ 7+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19383a |
Isogeny class |
Conductor |
19383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-202300371 = -1 · 32 · 73 · 13 · 712 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ 4 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,83,-648] |
[a1,a2,a3,a4,a6] |
Generators |
[22:106:1] |
Generators of the group modulo torsion |
j |
62476255232/202300371 |
j-invariant |
L |
2.3583068601718 |
L(r)(E,1)/r! |
Ω |
0.91128844509621 |
Real period |
R |
0.64697047155108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58149d1 |
Quadratic twists by: -3 |