Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ch |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
67122967745988 = 22 · 37 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18090,-844992] |
[a1,a2,a3,a4,a6] |
Generators |
[454:8958:1] |
Generators of the group modulo torsion |
j |
5735339/588 |
j-invariant |
L |
7.8357711552319 |
L(r)(E,1)/r! |
Ω |
0.41438383754329 |
Real period |
R |
4.7273629063963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574cv1 15246h1 106722gc1 |
Quadratic twists by: -3 -7 -11 |