Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320p |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-3338373766562560 = -1 · 28 · 5 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37268,-3923788] |
[a1,a2,a3,a4,a6] |
Generators |
[284:2898:1] [289:3073:1] |
Generators of the group modulo torsion |
j |
-104315904/60835 |
j-invariant |
L |
12.206891922085 |
L(r)(E,1)/r! |
Ω |
0.16731672796999 |
Real period |
R |
12.159465533208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320d1 |
Quadratic twists by: -11 |