Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200bq |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
99648 |
Modular degree for the optimal curve |
Δ |
-142921920000 = -1 · 29 · 3 · 54 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,-17812] |
[a1,a2,a3,a4,a6] |
j |
20764600/446631 |
j-invariant |
L |
4.5117529545483 |
L(r)(E,1)/r! |
Ω |
0.5013058791694 |
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 |
127200t1 127200by1 |
Quadratic twists by: -4 5 |