Atkin-Lehner |
2- 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bj |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-38793530880000000 = -1 · 215 · 37 · 57 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-396932,96819239] |
[a1,a2,a3,a4,a6] |
Generators |
[447:2701:1] [357:-899:1] |
Generators of the group modulo torsion |
j |
-9487318822026281209/53214720000000 |
j-invariant |
L |
13.047475770656 |
L(r)(E,1)/r! |
Ω |
0.36602553310323 |
Real period |
R |
0.042436135859412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990h1 |
Quadratic twists by: -3 |