Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bo |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-21895660800 = -1 · 28 · 36 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,7101] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-87:1] |
Generators of the group modulo torsion |
j |
1503815/1201408 |
j-invariant |
L |
6.4488151416326 |
L(r)(E,1)/r! |
Ω |
0.94239547085193 |
Real period |
R |
0.85537538663065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350q1 111150ex1 |
Quadratic twists by: -3 5 |