Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61596a |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
596736 |
Modular degree for the optimal curve |
Δ |
498845212828998912 = 28 · 33 · 29 · 597 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1301280,-570341228] |
[a1,a2,a3,a4,a6] |
Generators |
[74343:3491443:27] |
Generators of the group modulo torsion |
j |
35255935869714432000/72170893059751 |
j-invariant |
L |
6.6147835971409 |
L(r)(E,1)/r! |
Ω |
0.14137098264503 |
Real period |
R |
3.3421607024999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61596b1 |
Quadratic twists by: -3 |