Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bu |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
19922112 = 26 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560,-4914] |
[a1,a2,a3,a4,a6] |
Generators |
[234:429:8] |
Generators of the group modulo torsion |
j |
304006671424/311283 |
j-invariant |
L |
2.5208844605857 |
L(r)(E,1)/r! |
Ω |
0.98132901233917 |
Real period |
R |
5.1376947539843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984cx1 40992h2 |
Quadratic twists by: -4 8 |