Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bl |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1280144377847808000 = 216 · 36 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271692,2804976] |
[a1,a2,a3,a4,a6] |
Generators |
[957:24885:1] |
Generators of the group modulo torsion |
j |
46424454082884/26794860125 |
j-invariant |
L |
6.7977842737313 |
L(r)(E,1)/r! |
Ω |
0.23129871477596 |
Real period |
R |
4.8982721184564 |
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 |
31680eh4 3960p3 3520f3 |
Quadratic twists by: -4 8 -3 |