Atkin-Lehner |
3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3819d |
Isogeny class |
Conductor |
3819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
103113 = 34 · 19 · 67 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29,-72] |
[a1,a2,a3,a4,a6] |
j |
2845178713/103113 |
j-invariant |
L |
1.0263706236124 |
L(r)(E,1)/r! |
Ω |
2.0527412472249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104w1 11457d1 95475g1 72561k1 |
Quadratic twists by: -4 -3 5 -19 |