Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cd |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
21974416128 = 28 · 39 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1994,-33015] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:39:1] |
Generators of the group modulo torsion |
j |
24534169513/615168 |
j-invariant |
L |
12.728689705532 |
L(r)(E,1)/r! |
Ω |
0.71556530654149 |
Real period |
R |
0.5558843472414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166b1 78498bm1 |
Quadratic twists by: -3 -7 |