Atkin-Lehner |
2- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64240l |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51180445859840 = 215 · 5 · 11 · 734 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39323,-2981558] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:138:1] |
Generators of the group modulo torsion |
j |
1641737408164209/12495226040 |
j-invariant |
L |
2.431476272811 |
L(r)(E,1)/r! |
Ω |
0.33918542386429 |
Real period |
R |
3.5842876808235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8030i4 |
Quadratic twists by: -4 |