Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dg |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-457920000000 = -1 · 212 · 33 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-40437] |
[a1,a2,a3,a4,a6] |
j |
-6229504/7155 |
j-invariant |
L |
4.3825519397524 |
L(r)(E,1)/r! |
Ω |
0.36521267753753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200e1 25440a1 |
Quadratic twists by: -4 5 |