Atkin-Lehner |
3- 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485r |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-47915970795 = -1 · 36 · 5 · 72 · 11 · 293 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- 7 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,897,1998] |
[a1,a2,a3,a4,a6] |
j |
109489762304/65728355 |
j-invariant |
L |
1.385801007466 |
L(r)(E,1)/r! |
Ω |
0.69290056105102 |
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 |
11165e1 |
Quadratic twists by: -3 |