Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cn |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-1.7839075360107E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-358485,-219390900] |
[a1,a2,a3,a4,a6] |
Generators |
[48765:-1938445:27] |
Generators of the group modulo torsion |
j |
-5229566958889/18310546875 |
j-invariant |
L |
6.3368250367165 |
L(r)(E,1)/r! |
Ω |
0.089565677941772 |
Real period |
R |
1.6845379801024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215j2 124215bt2 |
Quadratic twists by: -7 13 |