Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150q |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-77787216000 = -1 · 27 · 39 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 1 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,498,-12844] |
[a1,a2,a3,a4,a6] |
Generators |
[25:109:1] |
Generators of the group modulo torsion |
j |
5545233/31616 |
j-invariant |
L |
4.6218153840955 |
L(r)(E,1)/r! |
Ω |
0.54440028442172 |
Real period |
R |
2.1224343031084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150dm1 111150dq1 |
Quadratic twists by: -3 5 |