Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728bd |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
290 |
Product of Tamagawa factors cp |
deg |
157685760 |
Modular degree for the optimal curve |
Δ |
-2.9398397539094E+30 |
Discriminant |
Eigenvalues |
2- 3- -3 4 5 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2561635548,-65687076610776] |
[a1,a2,a3,a4,a6] |
Generators |
[43953525:9863663058:1331] |
Generators of the group modulo torsion |
j |
7261657656795691884656195675312/11483749038708731056994194761 |
j-invariant |
L |
7.696323418237 |
L(r)(E,1)/r! |
Ω |
0.013397116908859 |
Real period |
R |
1.980952054939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16932d1 |
Quadratic twists by: -4 |