Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600eq |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-36729991987200 = -1 · 221 · 36 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 0 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4395,312410] |
[a1,a2,a3,a4,a6] |
j |
-125768785/492032 |
j-invariant |
L |
2.2711136594635 |
L(r)(E,1)/r! |
Ω |
0.56777842666867 |
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 |
13950cd1 12400v1 111600gh1 |
Quadratic twists by: -4 -3 5 |