Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792b |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1926079931547648 = 216 · 37 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46433,3236193] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:2552:1] |
Generators of the group modulo torsion |
j |
168940341062500/29389647393 |
j-invariant |
L |
4.5209252048647 |
L(r)(E,1)/r! |
Ω |
0.44573142478835 |
Real period |
R |
5.0713556801743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bq1 13224i1 |
Quadratic twists by: -4 8 |