Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294bb |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.307913569195E+25 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36950382,150993339732] |
[a1,a2,a3,a4,a6] |
Generators |
[47837805:29573701494:125] |
Generators of the group modulo torsion |
j |
721710134999099/1691848015872 |
j-invariant |
L |
4.2903428567708 |
L(r)(E,1)/r! |
Ω |
0.049369477754495 |
Real period |
R |
10.862842417804 |
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 |
7098z2 21294cx2 |
Quadratic twists by: -3 13 |