Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616bw |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-678651003666432 = -1 · 230 · 37 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33915,-2711126] |
[a1,a2,a3,a4,a6] |
Generators |
[77483:368640:343] |
Generators of the group modulo torsion |
j |
-4999353625/786432 |
j-invariant |
L |
5.7233364264035 |
L(r)(E,1)/r! |
Ω |
0.17439286695787 |
Real period |
R |
4.1023297900858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5202g2 13872bd2 41616cs2 |
Quadratic twists by: -4 -3 17 |