Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416y |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62492000256 = 214 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992,0] |
[a1,a2,a3,a4,a6] |
Generators |
[50:270:1] |
Generators of the group modulo torsion |
j |
26383748833/15256836 |
j-invariant |
L |
4.3862075634764 |
L(r)(E,1)/r! |
Ω |
0.93100638791665 |
Real period |
R |
2.355626996981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1302n2 41664eb2 31248cb2 72912dc2 |
Quadratic twists by: -4 8 -3 -7 |