Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616f |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-3863285171859456 = -1 · 212 · 32 · 711 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28643,-2346539] |
[a1,a2,a3,a4,a6] |
Generators |
[435:9604:1] [211:3612:1] |
Generators of the group modulo torsion |
j |
634459801098752/943184856411 |
j-invariant |
L |
6.3819715182123 |
L(r)(E,1)/r! |
Ω |
0.23369136077441 |
Real period |
R |
0.62066824700523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616w1 71232bt1 106848bl1 |
Quadratic twists by: -4 8 -3 |