Atkin-Lehner |
2+ 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776j |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-20736638976 = -1 · 226 · 3 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94977,-11234559] |
[a1,a2,a3,a4,a6] |
j |
-361446235206337/79104 |
j-invariant |
L |
0.271953439596 |
L(r)(E,1)/r! |
Ω |
0.135976719798 |
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 |
19776be1 618g1 59328u1 |
Quadratic twists by: -4 8 -3 |