Atkin-Lehner |
7+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10199b |
Isogeny class |
Conductor |
10199 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
316169 = 7 · 312 · 47 |
Discriminant |
Eigenvalues |
-1 -2 -2 7+ 6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1754,-28421] |
[a1,a2,a3,a4,a6] |
Generators |
[66:347:1] |
Generators of the group modulo torsion |
j |
596798817937057/316169 |
j-invariant |
L |
1.6608749839533 |
L(r)(E,1)/r! |
Ω |
0.73771885179702 |
Real period |
R |
4.5027315756065 |
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 |
91791b2 71393a2 |
Quadratic twists by: -3 -7 |