Atkin-Lehner |
2- 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bq |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
28200960 |
Modular degree for the optimal curve |
Δ |
2.7223346483474E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123068543,-519433800793] |
[a1,a2,a3,a4,a6] |
Generators |
[30543:4905478:1] |
Generators of the group modulo torsion |
j |
282772621217714098399053481/3734341081409264025600 |
j-invariant |
L |
10.652630571477 |
L(r)(E,1)/r! |
Ω |
0.045363841606163 |
Real period |
R |
3.261478709338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999195248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990g1 |
Quadratic twists by: -3 |