Atkin-Lehner |
2+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127832a |
Isogeny class |
Conductor |
127832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-4090624 = -1 · 28 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -1 0 -5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [3:14:1] |
Generators of the group modulo torsion |
j |
29696/19 |
j-invariant |
L |
7.7198325408634 |
L(r)(E,1)/r! |
Ω |
1.5381734406077 |
Real period |
R |
1.25470774773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127832d1 |
Quadratic twists by: 29 |