Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984bb |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2213568 = -1 · 26 · 34 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103,-445] |
[a1,a2,a3,a4,a6] |
Generators |
[26:123:1] |
Generators of the group modulo torsion |
j |
-1906624000/34587 |
j-invariant |
L |
7.9236292848641 |
L(r)(E,1)/r! |
Ω |
0.74789751075781 |
Real period |
R |
2.6486347297624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984a1 40992o1 |
Quadratic twists by: -4 8 |