Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400du |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-3200974848000000000 = -1 · 225 · 36 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1047208,-421710412] |
[a1,a2,a3,a4,a6] |
Generators |
[2183:87750:1] |
Generators of the group modulo torsion |
j |
-15875704027637/400121856 |
j-invariant |
L |
6.9150377288956 |
L(r)(E,1)/r! |
Ω |
0.074510036770487 |
Real period |
R |
3.8669498036035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050g1 80400ck1 |
Quadratic twists by: -4 5 |