Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720bb |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-3940580689920 = -1 · 211 · 310 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2256,-103284] |
[a1,a2,a3,a4,a6] |
Generators |
[7905:6804:125] |
Generators of the group modulo torsion |
j |
-1808462126/5609655 |
j-invariant |
L |
5.2199395350287 |
L(r)(E,1)/r! |
Ω |
0.31969546749116 |
Real period |
R |
4.0819624283115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720bv1 |
Quadratic twists by: -7 |