Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202z |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-52601579812964 = -1 · 22 · 73 · 138 · 47 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-618121,-187308165] |
[a1,a2,a3,a4,a6] |
j |
-5411082280083481/10897796 |
j-invariant |
L |
2.0432073006325 |
L(r)(E,1)/r! |
Ω |
0.085133625420413 |
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 |
8554a1 |
Quadratic twists by: 13 |