Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600co |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-248000 = -1 · 26 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- -4 -6 -6 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,23] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
-512/31 |
j-invariant |
L |
4.0604494362823 |
L(r)(E,1)/r! |
Ω |
2.5789692646485 |
Real period |
R |
0.7872233089288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600cx1 24800p1 49600cp1 |
Quadratic twists by: -4 8 5 |