Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19092a |
Isogeny class |
Conductor |
19092 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
-98873955072 = -1 · 28 · 38 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -3 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237,15273] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:81:1] |
Generators of the group modulo torsion |
j |
-5775106048/386226387 |
j-invariant |
L |
5.648779567975 |
L(r)(E,1)/r! |
Ω |
0.87937458715541 |
Real period |
R |
1.6059082359452 |
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 |
76368n1 57276a1 |
Quadratic twists by: -4 -3 |