Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9405i |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1621043014503515625 = 36 · 58 · 112 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8841728,10121402962] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
1.4772306177582 |
L(r)(E,1)/r! |
Ω |
0.2462051029597 |
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 |
1045b2 47025be2 103455m2 |
Quadratic twists by: -3 5 -11 |