Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bf |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-97302987925000000 = -1 · 26 · 58 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34274826,77231583548] |
[a1,a2,a3,a4,a6] |
Generators |
[3381:-1583:1] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
1.731661400601 |
L(r)(E,1)/r! |
Ω |
0.24376429033843 |
Real period |
R |
3.5519177188016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cn2 650l2 |
Quadratic twists by: 5 -11 |