Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dm |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-68800 = -1 · 26 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 1 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,27] |
[a1,a2,a3,a4,a6] |
Generators |
[66:53:27] |
Generators of the group modulo torsion |
j |
-163840/43 |
j-invariant |
L |
11.049018384084 |
L(r)(E,1)/r! |
Ω |
3.3005490650365 |
Real period |
R |
3.3476303989458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800t1 17200p1 68800ed1 |
Quadratic twists by: -4 8 5 |