Atkin-Lehner |
3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43197h |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1101195245997 = -1 · 37 · 7 · 114 · 173 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11- -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2055,36414] |
[a1,a2,a3,a4,a6] |
Generators |
[50:492:1] |
Generators of the group modulo torsion |
j |
65502548375/75213117 |
j-invariant |
L |
4.9901662437083 |
L(r)(E,1)/r! |
Ω |
0.58059493504475 |
Real period |
R |
2.8649728881501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129591w1 43197f1 |
Quadratic twists by: -3 -11 |