Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416c |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-143336920064 = -1 · 210 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13576,613664] |
[a1,a2,a3,a4,a6] |
Generators |
[70:38:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
5.1671929727643 |
L(r)(E,1)/r! |
Ω |
1.018808066619 |
Real period |
R |
2.5359010893006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39208a1 464b1 |
Quadratic twists by: -4 13 |