Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bc |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-4512244042137600 = -1 · 215 · 39 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20984,3005680] |
[a1,a2,a3,a4,a6] |
Generators |
[218:4230:1] |
Generators of the group modulo torsion |
j |
891449111/3936600 |
j-invariant |
L |
5.4587731763886 |
L(r)(E,1)/r! |
Ω |
0.31179121283888 |
Real period |
R |
4.3769460269417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998814875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870l1 126960bu1 |
Quadratic twists by: -4 -23 |