Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fa |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
514068916469760 = 219 · 314 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8263710732,-289141728742384] |
[a1,a2,a3,a4,a6] |
j |
326573981641149886485204481/2690010 |
j-invariant |
L |
2.0268228179637 |
L(r)(E,1)/r! |
Ω |
0.015834551908193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bx8 29520bh8 39360br8 |
Quadratic twists by: -4 8 -3 |