Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
819f |
Isogeny class |
Conductor |
819 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-263299491 = -1 · 310 · 73 · 13 |
Discriminant |
Eigenvalues |
2 3- 1 7- 2 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-237,-1607] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/361179 |
j-invariant |
L |
3.6151478828181 |
L(r)(E,1)/r! |
Ω |
0.60252464713635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13104bw1 52416cm1 273a1 20475u1 |
Quadratic twists by: -4 8 -3 5 |