Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bo |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-86808020544 = -1 · 26 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41356,3250954] |
[a1,a2,a3,a4,a6] |
Generators |
[75:752:1] |
Generators of the group modulo torsion |
j |
-122227750618912576/1356375321 |
j-invariant |
L |
4.2924365209822 |
L(r)(E,1)/r! |
Ω |
0.97595207256142 |
Real period |
R |
4.3982042191543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984ct1 40992f1 |
Quadratic twists by: -4 8 |