Atkin-Lehner |
3- 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485p |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-413810813059875 = -1 · 36 · 53 · 76 · 113 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7592898,8053032753] |
[a1,a2,a3,a4,a6] |
j |
-66407767620630399778816/567641718875 |
j-invariant |
L |
0.73779930408577 |
L(r)(E,1)/r! |
Ω |
0.3688997040571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11165d2 |
Quadratic twists by: -3 |