Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bj |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-95201132544 = -1 · 217 · 35 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7649,-260481] |
[a1,a2,a3,a4,a6] |
j |
-377645701106/726327 |
j-invariant |
L |
5.1043869898366 |
L(r)(E,1)/r! |
Ω |
0.25521935484746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984br1 10248b1 |
Quadratic twists by: -4 8 |