Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304w |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
360989809410048 = 215 · 3 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84737,-9421887] |
[a1,a2,a3,a4,a6] |
j |
17454600584/93639 |
j-invariant |
L |
2.2392943419257 |
L(r)(E,1)/r! |
Ω |
0.27991174756967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304dg4 61152ce3 17472bb3 |
Quadratic twists by: -4 8 -7 |