Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760r |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23542617600 = -1 · 29 · 37 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,7414] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:90:1] |
Generators of the group modulo torsion |
j |
-941192/63075 |
j-invariant |
L |
4.7463770892389 |
L(r)(E,1)/r! |
Ω |
0.99105601286279 |
Real period |
R |
0.59865146717688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760p2 83520fl2 13920bb2 |
Quadratic twists by: -4 8 -3 |