Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63916h |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1594164568972544 = -1 · 28 · 192 · 297 |
Discriminant |
Eigenvalues |
2- 3 -1 2 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14297,-1804786] |
[a1,a2,a3,a4,a6] |
Generators |
[351306:7885216:729] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
12.471580335551 |
L(r)(E,1)/r! |
Ω |
0.23909472738508 |
Real period |
R |
6.5202087849711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204c1 |
Quadratic twists by: 29 |