Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81120bf |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-94910400 = -1 · 26 · 33 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74,376] |
[a1,a2,a3,a4,a6] |
Generators |
[36:220:1] |
Generators of the group modulo torsion |
j |
314432/675 |
j-invariant |
L |
6.7858580822377 |
L(r)(E,1)/r! |
Ω |
1.3175830693048 |
Real period |
R |
2.5751158464014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bu1 81120m1 |
Quadratic twists by: -4 13 |