Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dn |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
90048 |
Modular degree for the optimal curve |
Δ |
-1483660800 = -1 · 29 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,-9972] |
[a1,a2,a3,a4,a6] |
j |
-5274889160/115911 |
j-invariant |
L |
3.0921536119851 |
L(r)(E,1)/r! |
Ω |
0.4417363455472 |
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 |
127200cg1 127200o1 |
Quadratic twists by: -4 5 |