Atkin-Lehner |
3- 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485q |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1962966624609375 = 38 · 58 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143550,-20789375] |
[a1,a2,a3,a4,a6] |
j |
448753114848376801/2692683984375 |
j-invariant |
L |
1.9628881129821 |
L(r)(E,1)/r! |
Ω |
0.2453610189575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495j4 |
Quadratic twists by: -3 |