Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400cj |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3160000000000 = -1 · 212 · 510 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967,85063] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:200:1] |
Generators of the group modulo torsion |
j |
1560896/49375 |
j-invariant |
L |
4.6709730381669 |
L(r)(E,1)/r! |
Ω |
0.60143179161172 |
Real period |
R |
1.9416055021543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998610817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400bq1 63200i1 25280u1 |
Quadratic twists by: -4 8 5 |