Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142z |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
173568 |
Modular degree for the optimal curve |
Δ |
-660164271228 = -1 · 22 · 36 · 7 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2173,2175] |
[a1,a2,a3,a4,a6] |
j |
1557265698071/905575132 |
j-invariant |
L |
2.1915952198969 |
L(r)(E,1)/r! |
Ω |
0.54789880634046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238c1 |
Quadratic twists by: -3 |