Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966cm |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
19558581410156544 = 212 · 39 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1052249,415665209] |
[a1,a2,a3,a4,a6] |
Generators |
[-993:22420:1] |
Generators of the group modulo torsion |
j |
249896037845497/37933056 |
j-invariant |
L |
6.6853251043656 |
L(r)(E,1)/r! |
Ω |
0.37248675745207 |
Real period |
R |
0.37391290577166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035942 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35322s2 105966bb2 |
Quadratic twists by: -3 29 |