Atkin-Lehner |
3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3819a |
Isogeny class |
Conductor |
3819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
653049 = 33 · 192 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -2 -2 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44,-124] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
9434056897/653049 |
j-invariant |
L |
1.3302166896375 |
L(r)(E,1)/r! |
Ω |
1.8615446420962 |
Real period |
R |
1.4291536819011 |
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 |
61104bb1 11457a1 95475i1 72561m1 |
Quadratic twists by: -4 -3 5 -19 |