Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12640f |
Isogeny class |
Conductor |
12640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-3160000 = -1 · 26 · 54 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,88] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] [1:10:1] |
Generators of the group modulo torsion |
j |
1560896/49375 |
j-invariant |
L |
4.6212947299119 |
L(r)(E,1)/r! |
Ω |
1.9018943187288 |
Real period |
R |
1.2149189059573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12640e1 25280u1 113760o1 63200i1 |
Quadratic twists by: -4 8 -3 5 |