Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404g |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-473530636656 = -1 · 24 · 33 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1911,7889] |
[a1,a2,a3,a4,a6] |
Generators |
[1:99:1] [7:147:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
6.3864935938334 |
L(r)(E,1)/r! |
Ω |
0.57634400264816 |
Real period |
R |
0.15390339711492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616dm1 19404c2 2772d1 |
Quadratic twists by: -4 -3 -7 |