Atkin-Lehner |
2- 5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650x |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
2112000 |
Modular degree for the optimal curve |
Δ |
-2854426929200000000 = -1 · 210 · 58 · 75 · 114 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-391138,124226031] |
[a1,a2,a3,a4,a6] |
Generators |
[1985:-85693:1] |
Generators of the group modulo torsion |
j |
-16941574858476865/7307332938752 |
j-invariant |
L |
8.3861459554753 |
L(r)(E,1)/r! |
Ω |
0.23824831140316 |
Real period |
R |
0.11733061112646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650f1 |
Quadratic twists by: 5 |