Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890dc |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1023738726704400 = 24 · 37 · 52 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271224,54413680] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:7727:1] |
Generators of the group modulo torsion |
j |
25727239787761/11936400 |
j-invariant |
L |
6.1842385055577 |
L(r)(E,1)/r! |
Ω |
0.48556817655689 |
Real period |
R |
0.79600543398757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630ch1 18270p1 |
Quadratic twists by: -3 -7 |