Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384ba |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-61370416348573696 = -1 · 212 · 79 · 135 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 6 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158237,26948011] |
[a1,a2,a3,a4,a6] |
Generators |
[65:4116:1] |
Generators of the group modulo torsion |
j |
-2650991104/371293 |
j-invariant |
L |
2.6869245305577 |
L(r)(E,1)/r! |
Ω |
0.33907389295013 |
Real period |
R |
1.9810759442285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20384i1 40768bs1 20384bb1 |
Quadratic twists by: -4 8 -7 |