Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840w |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
821145600 = 212 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:4:1] |
Generators of the group modulo torsion |
j |
7529536/275 |
j-invariant |
L |
3.6060493336371 |
L(r)(E,1)/r! |
Ω |
0.97169445196548 |
Real period |
R |
1.8555469398549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840bb2 31680eg1 1760h2 79200be2 |
Quadratic twists by: -4 8 -3 5 |