Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bj |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-149323776 = -1 · 215 · 3 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-588] |
[a1,a2,a3,a4,a6] |
j |
-1/36456 |
j-invariant |
L |
3.3547470527565 |
L(r)(E,1)/r! |
Ω |
0.83868676318912 |
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 |
1302k1 41664cp1 31248bw1 72912bq1 |
Quadratic twists by: -4 8 -3 -7 |