Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bw |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-843684508800 = -1 · 27 · 33 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11668,482261] |
[a1,a2,a3,a4,a6] |
Generators |
[1:685:1] |
Generators of the group modulo torsion |
j |
-7027086363930985/33747380352 |
j-invariant |
L |
8.0421511295626 |
L(r)(E,1)/r! |
Ω |
0.89532283343658 |
Real period |
R |
0.64160026404017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87150bs1 |
Quadratic twists by: 5 |