Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bs |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-803420755977830400 = -1 · 218 · 314 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58577,-43454271] |
[a1,a2,a3,a4,a6] |
j |
-30490925731433929/1102086085017600 |
j-invariant |
L |
8.8812358465726 |
L(r)(E,1)/r! |
Ω |
0.12335050481267 |
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 |
40470i1 |
Quadratic twists by: -3 |