Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680r |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7934779201536000 = 214 · 37 · 53 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56028,2772848] |
[a1,a2,a3,a4,a6] |
j |
1628514404944/664335375 |
j-invariant |
L |
1.5069811200089 |
L(r)(E,1)/r! |
Ω |
0.37674528000339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680da4 1980f4 10560n4 |
Quadratic twists by: -4 8 -3 |