Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fj |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
12875563008 = 215 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,-7182] |
[a1,a2,a3,a4,a6] |
j |
415233/88 |
j-invariant |
L |
3.6232644694813 |
L(r)(E,1)/r! |
Ω |
0.90581611429034 |
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 |
9702y1 8624bc1 77616ek1 |
Quadratic twists by: -4 -3 -7 |