Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19040b |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-2132480 = -1 · 29 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [0:14:1] |
Generators of the group modulo torsion |
j |
-38614472/4165 |
j-invariant |
L |
5.7905972122415 |
L(r)(E,1)/r! |
Ω |
2.5389107185227 |
Real period |
R |
0.5701851949733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19040l1 38080r1 95200bb1 |
Quadratic twists by: -4 8 5 |