Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536h |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11565312 = 28 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188,-1044] |
[a1,a2,a3,a4,a6] |
Generators |
[-1650:469:216] |
Generators of the group modulo torsion |
j |
2885794000/45177 |
j-invariant |
L |
6.9147095902666 |
L(r)(E,1)/r! |
Ω |
1.2899705396726 |
Real period |
R |
5.3603624095334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768d2 78144cb2 58608l2 |
Quadratic twists by: -4 8 -3 |