Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bc |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
3419996160 = 216 · 3 · 5 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17416,-878864] |
[a1,a2,a3,a4,a6] |
Generators |
[10236:184832:27] |
Generators of the group modulo torsion |
j |
142637575594249/834960 |
j-invariant |
L |
5.1848604881516 |
L(r)(E,1)/r! |
Ω |
0.41558563281867 |
Real period |
R |
6.2380170899596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999861949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910q1 |
Quadratic twists by: -4 |