Atkin-Lehner |
3- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19053b |
Isogeny class |
Conductor |
19053 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-97880271939 = -1 · 313 · 292 · 73 |
Discriminant |
Eigenvalues |
0 3- 3 -2 4 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8436,-298611] |
[a1,a2,a3,a4,a6] |
Generators |
[437:8914:1] |
Generators of the group modulo torsion |
j |
-91076408639488/134266491 |
j-invariant |
L |
5.0766345863489 |
L(r)(E,1)/r! |
Ω |
0.24905601639494 |
Real period |
R |
5.0958762809996 |
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 |
6351a1 |
Quadratic twists by: -3 |