Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665j |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-58995 = -1 · 33 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 -4 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117,487] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1:8] |
Generators of the group modulo torsion |
j |
-6560206848/2185 |
j-invariant |
L |
9.8222339662537 |
L(r)(E,1)/r! |
Ω |
3.4458200574824 |
Real period |
R |
1.4252389565331 |
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 |
19665e1 98325j1 |
Quadratic twists by: -3 5 |