Atkin-Lehner |
2- 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650ci |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-14493600000000000 = -1 · 214 · 33 · 511 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2838,5792292] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-7686:1] |
Generators of the group modulo torsion |
j |
-161789533849/927590400000 |
j-invariant |
L |
12.426480986215 |
L(r)(E,1)/r! |
Ω |
0.31672602351948 |
Real period |
R |
0.23353669468791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130b1 |
Quadratic twists by: 5 |