Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cr |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.2961717591501E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,312362,725977892] |
[a1,a2,a3,a4,a6] |
Generators |
[1472:-66886:1] |
Generators of the group modulo torsion |
j |
215713926386390375/14695499258560512 |
j-invariant |
L |
13.662631961762 |
L(r)(E,1)/r! |
Ω |
0.13468046236061 |
Real period |
R |
0.060383806839034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486a1 |
Quadratic twists by: 5 |