Atkin-Lehner |
3- 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485p |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-18717176091796875 = -1 · 36 · 59 · 72 · 11 · 293 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-89148,12177378] |
[a1,a2,a3,a4,a6] |
j |
-107480826403618816/25675138671875 |
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 |
1 |
Number of elements in the torsion subgroup |
Twists |
11165d1 |
Quadratic twists by: -3 |