Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254ci |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-1193724378 = -1 · 2 · 36 · 74 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-589,-5797] |
[a1,a2,a3,a4,a6] |
Generators |
[358:1747:8] |
Generators of the group modulo torsion |
j |
-9412901617/497178 |
j-invariant |
L |
11.589378495845 |
L(r)(E,1)/r! |
Ω |
0.48306368963426 |
Real period |
R |
3.998568141043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254bp1 |
Quadratic twists by: -7 |