Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cc |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
76633299957500000 = 25 · 57 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44664810730,-3633247854914103] |
[a1,a2,a3,a4,a6] |
j |
355995140004443961140387841/2768480 |
j-invariant |
L |
1.6616064493573 |
L(r)(E,1)/r! |
Ω |
0.0103850401564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730j3 7150a4 |
Quadratic twists by: 5 -11 |