Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86700cd |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3818880 |
Modular degree for the optimal curve |
Δ |
1.3181168036275E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22730813,-41720129697] |
[a1,a2,a3,a4,a6] |
Generators |
[-2747:270:1] |
Generators of the group modulo torsion |
j |
5818717724672/59049 |
j-invariant |
L |
7.3320027097457 |
L(r)(E,1)/r! |
Ω |
0.069142658707529 |
Real period |
R |
1.7673610964991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bb1 86700w1 |
Quadratic twists by: 5 17 |