Atkin-Lehner |
2- 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640ch |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-1962240 = -1 · 28 · 3 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-120] |
[a1,a2,a3,a4,a6] |
j |
-20720464/7665 |
j-invariant |
L |
0.95465260765228 |
L(r)(E,1)/r! |
Ω |
0.95465276411481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660i1 |
Quadratic twists by: -4 |