Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cx |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-61005000 = -1 · 23 · 3 · 54 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,417] |
[a1,a2,a3,a4,a6] |
Generators |
[8:17:1] |
Generators of the group modulo torsion |
j |
-44289025/97608 |
j-invariant |
L |
11.50659084636 |
L(r)(E,1)/r! |
Ω |
1.7502436835467 |
Real period |
R |
1.0957132187905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87150k1 |
Quadratic twists by: 5 |