Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cj |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,12537] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:2872:27] |
Generators of the group modulo torsion |
j |
320/43 |
j-invariant |
L |
8.6298335093451 |
L(r)(E,1)/r! |
Ω |
0.84434694422167 |
Real period |
R |
5.1103598874858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bx1 34400p1 68800o1 |
Quadratic twists by: -4 8 5 |