Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hg |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1607626312069976352 = 25 · 314 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-595706,166270745] |
[a1,a2,a3,a4,a6] |
Generators |
[333:2011:1] |
Generators of the group modulo torsion |
j |
3053190217/209952 |
j-invariant |
L |
8.4068489154067 |
L(r)(E,1)/r! |
Ω |
0.26181069476694 |
Real period |
R |
1.0703470207121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bf1 106722fr1 106722dm1 |
Quadratic twists by: -3 -7 -11 |