Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080br |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-3558899236785356800 = -1 · 246 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282092,-107535024] |
[a1,a2,a3,a4,a6] |
Generators |
[25861548:3161762765:1728] |
Generators of the group modulo torsion |
j |
-9470133471933009/13576123187200 |
j-invariant |
L |
5.1954718916696 |
L(r)(E,1)/r! |
Ω |
0.098476450879823 |
Real period |
R |
13.189630224412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080q1 9520h1 |
Quadratic twists by: -4 8 |