Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760i |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1017041080320 = -1 · 212 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,-77056] |
[a1,a2,a3,a4,a6] |
Generators |
[70:252:1] |
Generators of the group modulo torsion |
j |
-895841344/340605 |
j-invariant |
L |
5.935074201846 |
L(r)(E,1)/r! |
Ω |
0.3194756240683 |
Real period |
R |
2.3221936803297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760j2 83520ex1 13920r2 |
Quadratic twists by: -4 8 -3 |