Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342k |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9.9478597219911E+18 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10619810,13318832756] |
[a1,a2,a3,a4,a6] |
Generators |
[33102:1587905:8] |
Generators of the group modulo torsion |
j |
74768347616680342513/5615307472896 |
j-invariant |
L |
4.2305476383997 |
L(r)(E,1)/r! |
Ω |
0.21834918082463 |
Real period |
R |
4.8437869361617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736by2 37026bm2 1122k2 |
Quadratic twists by: -4 -3 -11 |