Atkin-Lehner |
2+ 3- 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418k |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1670904929903616 = 210 · 36 · 114 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40281,-2401363] |
[a1,a2,a3,a4,a6] |
j |
9915234258747537/2292050658304 |
j-invariant |
L |
2.7408451115493 |
L(r)(E,1)/r! |
Ω |
0.34260563673795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8602c2 |
Quadratic twists by: -3 |