Atkin-Lehner |
2- 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
126540b |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
40957961040 = 24 · 39 · 5 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,12393] |
[a1,a2,a3,a4,a6] |
j |
588791808/130055 |
j-invariant |
L |
3.2434032839367 |
L(r)(E,1)/r! |
Ω |
1.0811347541313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126540d1 |
Quadratic twists by: -3 |