Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400ck |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-632000 = -1 · 26 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- -1 1 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[48:335:1] |
Generators of the group modulo torsion |
j |
-32768/79 |
j-invariant |
L |
7.2802515559263 |
L(r)(E,1)/r! |
Ω |
1.165283332884 |
Real period |
R |
3.1238117594218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400be1 31600w1 126400cn1 |
Quadratic twists by: -4 8 5 |