Atkin-Lehner |
2+ 3- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bj |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
31467153051000 = 23 · 316 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14366,-606472] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:241:1] |
Generators of the group modulo torsion |
j |
2622876415580429/251737224408 |
j-invariant |
L |
4.7565857993053 |
L(r)(E,1)/r! |
Ω |
0.43877077033043 |
Real period |
R |
0.33877212291393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650co1 |
Quadratic twists by: 5 |