Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488u |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6600532054381461504 = -1 · 215 · 33 · 714 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,464063,-21912575] |
[a1,a2,a3,a4,a6] |
Generators |
[72:3445:1] [947:35580:1] |
Generators of the group modulo torsion |
j |
2866919053816/1712145897 |
j-invariant |
L |
11.082828854727 |
L(r)(E,1)/r! |
Ω |
0.13844941683224 |
Real period |
R |
40.024830397303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dy3 51744cr2 14784be4 |
Quadratic twists by: -4 8 -7 |