Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38148d |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3272979853572625152 = -1 · 28 · 34 · 113 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9390573,-11073296727] |
[a1,a2,a3,a4,a6] |
Generators |
[85626:8445447:8] |
Generators of the group modulo torsion |
j |
-14820625871872000/529675443 |
j-invariant |
L |
4.927061396264 |
L(r)(E,1)/r! |
Ω |
0.043121672871641 |
Real period |
R |
4.7608130940422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114444a2 2244b2 |
Quadratic twists by: -3 17 |