Atkin-Lehner |
3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61005j |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-36934349808481335 = -1 · 33 · 5 · 78 · 834 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105767,-16192896] |
[a1,a2,a3,a4,a6] |
j |
-1112224471095529/313936793415 |
j-invariant |
L |
2.3482469797983 |
L(r)(E,1)/r! |
Ω |
0.13045816563913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715j1 |
Quadratic twists by: -7 |