Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352ba |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
873544087240704 = 218 · 32 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70704,7118784] |
[a1,a2,a3,a4,a6] |
Generators |
[114:726:1] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
3.0633199025391 |
L(r)(E,1)/r! |
Ω |
0.49889079845884 |
Real period |
R |
0.76753267115921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794bn1 10032h1 |
Quadratic twists by: -4 -11 |