Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665q |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-400247152875 = -1 · 36 · 53 · 192 · 233 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 -6 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,42,30438] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:85:1] |
Generators of the group modulo torsion |
j |
11239424/549035875 |
j-invariant |
L |
4.2018686069943 |
L(r)(E,1)/r! |
Ω |
0.74949121752834 |
Real period |
R |
1.4015736638153 |
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 |
2185b1 98325bu1 |
Quadratic twists by: -3 5 |