Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984by |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3902688597978906624 = -1 · 223 · 33 · 710 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358209,125989857] |
[a1,a2,a3,a4,a6] |
Generators |
[2629:131712:1] |
Generators of the group modulo torsion |
j |
-19390744433389393/14887575523296 |
j-invariant |
L |
8.3363259789066 |
L(r)(E,1)/r! |
Ω |
0.22774719362857 |
Real period |
R |
0.91508547773648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984u1 20496bc1 |
Quadratic twists by: -4 8 |