Atkin-Lehner |
2+ 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338c |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
610978748538479616 = 210 · 318 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218781,-11654523] |
[a1,a2,a3,a4,a6] |
Generators |
[577021914:10581885063:830584] |
Generators of the group modulo torsion |
j |
1588642254245731537/838105279202304 |
j-invariant |
L |
4.73006061545 |
L(r)(E,1)/r! |
Ω |
0.23421105046759 |
Real period |
R |
10.097859614238 |
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 |
7446i2 |
Quadratic twists by: -3 |