Atkin-Lehner |
3- 5- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
79605f |
Isogeny class |
Conductor |
79605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
806000625 = 36 · 54 · 29 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:28:1] [-8:31:1] |
Generators of the group modulo torsion |
j |
2565726409/1105625 |
j-invariant |
L |
6.986286167537 |
L(r)(E,1)/r! |
Ω |
1.2402672120191 |
Real period |
R |
2.8164439484638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8845a1 |
Quadratic twists by: -3 |