Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hf |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12971150418412494 = 2 · 36 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62096,2349141] |
[a1,a2,a3,a4,a6] |
Generators |
[-3820:156543:64] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
9.0373497848808 |
L(r)(E,1)/r! |
Ω |
0.35426619324681 |
Real period |
R |
6.3775135374312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858p2 106722gu2 9702r2 |
Quadratic twists by: -3 -7 -11 |