Atkin-Lehner |
2+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910f |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103040 |
Modular degree for the optimal curve |
Δ |
-21092796800 = -1 · 27 · 52 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -6 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-862,11636] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-56:1] [-130:1243:8] |
Generators of the group modulo torsion |
j |
-10345981339/3075200 |
j-invariant |
L |
7.7278850170954 |
L(r)(E,1)/r! |
Ω |
1.1474633323951 |
Real period |
R |
0.84184444077794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111910l1 |
Quadratic twists by: -19 |