Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152c |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
795823056 = 24 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22734,1319355] |
[a1,a2,a3,a4,a6] |
Generators |
[210:6885:8] |
Generators of the group modulo torsion |
j |
4126102419456/2527 |
j-invariant |
L |
5.504977670791 |
L(r)(E,1)/r! |
Ω |
1.3126967608972 |
Real period |
R |
4.193640020128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576s1 76608dj1 19152d1 |
Quadratic twists by: -4 8 -3 |