Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665h |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
15456 |
Modular degree for the optimal curve |
Δ |
-671989921875 = -1 · 39 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 1 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2592,64307] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:337:1] |
Generators of the group modulo torsion |
j |
-97844723712/34140625 |
j-invariant |
L |
4.7859960357312 |
L(r)(E,1)/r! |
Ω |
0.85567721177125 |
Real period |
R |
0.39951614346191 |
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 |
19665c1 98325h1 |
Quadratic twists by: -3 5 |