Atkin-Lehner |
3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3363b |
Isogeny class |
Conductor |
3363 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
456 |
Modular degree for the optimal curve |
Δ |
575073 = 33 · 192 · 59 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39,72] |
[a1,a2,a3,a4,a6] |
j |
6826561273/575073 |
j-invariant |
L |
1.4190962922311 |
L(r)(E,1)/r! |
Ω |
2.8381925844623 |
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 |
53808v1 10089c1 84075n1 63897k1 |
Quadratic twists by: -4 -3 5 -19 |