Atkin-Lehner |
2+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048b |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-15771631616 = -1 · 220 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ -3 -3 0 2 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4684,-123536] |
[a1,a2,a3,a4,a6] |
Generators |
[110:832:1] |
Generators of the group modulo torsion |
j |
-43354526697/60164 |
j-invariant |
L |
2.9982417358638 |
L(r)(E,1)/r! |
Ω |
0.28852218226279 |
Real period |
R |
1.2989650020025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048s1 2314a1 |
Quadratic twists by: -4 8 |