Atkin-Lehner |
2+ 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798m |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
555765432192 = 27 · 36 · 29 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9054,331924] |
[a1,a2,a3,a4,a6] |
Generators |
[526:799:8] [5:533:1] |
Generators of the group modulo torsion |
j |
112601619161569/762366848 |
j-invariant |
L |
4.5860359336825 |
L(r)(E,1)/r! |
Ω |
0.92715868863583 |
Real period |
R |
0.8243888901101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422e1 |
Quadratic twists by: -3 |