Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416be |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
403603607215872 = 28 · 314 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24428,1115100] |
[a1,a2,a3,a4,a6] |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
1.4978464233161 |
L(r)(E,1)/r! |
Ω |
0.49928214110537 |
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 |
2604c2 41664eh2 31248ch2 72912ce2 |
Quadratic twists by: -4 8 -3 -7 |